What is the next number of the following sequence. 18, 82, 86, 122, 606, 642,

Danda Sindhura   9 years AGO

18=8^2=64 18+64=82
82=2^2=4 82+4=86
86=6^2=36 86+36=122
122=22^2=484 122+484=606
606=6^2=36 606+36=642
642=42^2=1764 642+1764=2406

2406

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SAGNIK DATTA   9 years AGO

next term= previous term+(number excluding the first digit of previous term )^2

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BIBIN RAJ B S   9 years AGO

Last digit of 18 is 8. and 8^2=64.
18+64=82.

Last digit of 82 is 2. and 2^2=4
82+4=86

Last digit of 86 is 6 and 6^2=36
86+36=122

Last digits of 122 is 22. and (22)^2=484
122+484=606

Last digits of 606 is 06 and (6)^2=36
606+36=642.

Last digits of 642 is 42 and (42)^2=1764
642+1764=2406.

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meghana   9 years AGO

The Series is 18, 82, 86, 122, 606, 642,

1) The process of this series is if it is a 2 digit number take last digit of that number and find square of last digit add that to the two digit.
2) if it is a 3 digit number take last 2 digits of that number and find square of last 2 digits add that to the the three digit.
3) .....continue this process for all digits

ex:
1. 18+(8)^2 =82 -----------(Take last number in the 18 i.e '8' and add 8^2 i.e 64 to 18 )
2. 82+(2)^2 =86 -----------(Take last number in the 82 i.e '2' and add 2^2 i.e 4 to 82 )
3. 86+(6)^2 =122 -----------(Take last number in the 86 i.e '6' and add 6^2 (i.e 36) to 86 )
4. ...............................
continue this process then final element will be
5. 642+(42)^2 =2406 this is final answer

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sneha   9 years AGO

18 82 86 122 606 642 x
64 4 36 484 36 1764
we can see that the difference of (82-18)=64 which is the sq of 18's last digit 8..
similarly (86-82)=4 which is the sq of 82's last digit 2.
.................
in case of 642 the sq of 42 is 1764.
the next no of the series is (1764+642)=2406

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Testing Account   9 years AGO

add square of unit digjt into no and get the next numuber. so 42^2=1764
add this into 642
so ans is 2406

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kumar   9 years AGO

ADDING LAST (N-1)DIGITS SQUARE VALUE::
18+8^2= 82
82+2^2=86
86+6^2=122
122+ 22^2=606
606+ 06^2= 642
642+42^2= 2406
option:5

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akshay verma   9 years AGO

difference between every no. is a perfect square then check from option

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Amber Singh   9 years AGO

the difference is the square of the number except the last one.
8^2, 2^2, 6^2, 22^2, 06^2, and similarly 42^2=1764.
so the next no in the series is 642+1764=2406.

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Lakhi kant Roy   9 years AGO

Ans is 2406
series is follow like this--------
(given digit+square of right place digit)
18-->18+8^2=18+64=82
82-->82+2^2=82+4=86
86-->86+6^2=86+36=122
122-->122+22^2=122+484=606
606-->606+6^2=606+36=642
642-->642+42^2=642+1764=2406
so,option 5 is correct.

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Shubham Raj   9 years AGO

18
82 ----> 18+64 = 82( previous no + (unit digit no) ^2)
86-----> 82+4 =86
122 ---> 86+484=606
606----> 122+36=642
642----->606+1764=2406
next sequence is 2406 (5)

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Keshav Kishlay   9 years AGO

difference between no. is like that
64,4,36,484,36
which is calculate by multiplying the last digits which will be gets after discarding the first digit of the no. so for the first no. (18) the difference is 8*8=64 like that for (82):- 2*2=4 and so on for (606):-06*06=36 so for (642):-42*42=1764
so the next no. will be 2406

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Adharsh   9 years AGO

The next number in the sequence is the sum of the previous number and the square of the the number formed by the digits other than the first digit.

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Mahesh Chaurasia   9 years AGO

in 18 ,it add 8^2 i.e. 18+8^2=18+64=82
82+2^2=82+4=86
86+6^2=122
122+22^2=606
606+(06)^2=642
642+42^2=2406

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Deepak kumar kumawat   9 years AGO

adding number with square of number form by accept 1st digit of that number
642+(42)^2=2406

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yamini shrivastava   9 years AGO

if we see the serise 18 ,82 ,86 ,122 ,606 ,642
so diff 64, 4 ,36 , 484 ,36
so we can see the diff of two numbers are the square of the last digit of previous number.
8*8=64,2*2=4,6*6=36,22*22=484,6*6=36
so for next number the diff =42*42=1764
so number will be 1764+642=2406

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Neeraj   9 years AGO

18+8^2=82
82+2^2=86
86+6^2=122
122+22^2=606
606+06^2=642
642+42^2=2406

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Nabarupa Das   9 years AGO

(82-18)=64=8^2 that is 8 is the last digit of 18 and its square
similarly
(86-82)=4=2^2 that is 2 is the last digit of 82 and its square
and so on.
(642-606)=36=(06)^2 , 06 the last two digits of 606.
now last two digits of 642 is 42.
(42)^2=1764
so the next number is=1764+642=2406

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ajay   9 years AGO

every 1st digit e.g.8 in 18 squared and added to itself den nxt one comes like dis,,,642+(42*42)

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Binay Shaw   9 years AGO

82-18=64=8*8
86-82=4=2*2
122-86=36=6*6
606-122=484=22*22
642-606=36=6*6
2046-642=1764=42*42

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Tushar Goyal   9 years AGO

choose all digits except first digit and square that number and add to that number.
suppose in 18 the number except first digit is 8, square it i.e 64 and then add it to 18 we get the next number which is 82. now same for last number, the number after removing first digit is 42, square it, we get 1764 and then add this to 642,we get 2406.

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Naveenhaa B   9 years AGO

taking unit digit and then its square is added to the same number.. for example
18-> unit digit is 8, its square is 64, hence the 2nd term is 64+18 = 82
then in 82, unit digit is 2, squaring 2 and added to 82, 82+2^2=86 and so on.. thus last term is 642, its square is 1464 added to 642 =642+1764= 2406

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gaurav shukla   9 years AGO

18+8*8=82
82+2*2=86
86+6*6=122
.
.
642+42*42=2406

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Chitra.S   9 years AGO

82-8=64...8^2
86-82=4............2^2..........................(1)...which is 2
122-86=36........6^2
606-122=484....22^2................(2)...which is 2+20=22
642-606=36.......6^2
2406-642=1764..42^2................(3)..which is (22+20=42)..(this is the clue..we have to add 20 in even places with the previous even place)

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shri sathan   9 years AGO

Sum of the square of the last digit in a number and the number itself will be the solution

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NAGENDRA P   9 years AGO

18+8^2=82
82+2^2=86
86+6^2=122
122+22^2=606
606+6^2=642
642+42^2=2406

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Belal Ahmed   9 years AGO

add square of each numbers last digit to the number so we get the number.
18+8^2=82 similarly 642+42^2= 2406

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RAVAL   9 years AGO

add square of unit digjt into no and get the next numuber. so 42^2=1764
add this into 642
so ans is 2406

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VIDIT SINGH   9 years AGO

18+(8)^2=82
82+(2)^2=86
86+(6)^2=122
122+(22)^2=606
606+(06)^2=642
642+(42)^2=2406

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Manpreet Kaur   9 years AGO

18 + (8*8) = 82
82 + (2*2) = 86
86 + (6*6) = 122
122 + (22*22) = 606
606 + (6*6) = 642
642 + (42*42) = 2406

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Deepanshu Chaturvedi   9 years AGO

82 = 18 + 8*8
86 = 82 + 2*2
122 = 86 + 6*6
606 = 122 + 22*22
642 = 606 + 42*42
similarly last term is
642 + 42*42 = 2406
answer is 2406

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Swapnil Gupta   9 years AGO

18+8^2=82
82+2^2=86
86+6^2=122
122+22^2=606
606+06^2=642
similarly, 642+42^2=2406.
Hence, option (5) is the correct answer.

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ritu yadav   9 years AGO

in this series every last pair of digit is squared and added to the number to get the next number in series.. like in 18 we squared the 8and add it to 18 then we get 82 again taking 2 squaring it and adding it to 82 gives 86 that is are next number in series... and so on so for 642 ew take 42 and its square willl be 1764 and added to 642 gives 2406

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Anup Sahay   9 years AGO

Logic is to square the last digit in a 2 digit no. or square the last 2 digits if the no. is a 3 digit no. and add it to the no. itself and you can get the the next number.

solution:
18>> last digit is 8
8*8=64
now 18+64=82
carry the similar process for each and check it
similarly
642>>last 2 digits=42
42*42=1764
now, 642+1764=2406 ...ans.

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Sruthi Sreejan   9 years AGO

take the square of the digit at units place if it is a 2 digit number or take the square of the last 2 digits if it is a 3 digit number and finally add the number to it to get the next number.
eg for 82, 82 + (2*2)=86.

similarly, (42*42)+ 642 = 2406

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RAJ KUMAR   9 years AGO

18+8²=82
82+2²=86
86+6²=122
122+22²=406
406+6²=442
442+42²=2406

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