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Sequence and Series
Find 28383rd term of series:
1234567891011121314.......
Read Solution (Total 12)
-
- 2
No. Of 1 digit numbers = 1 to 9 = 9
No. 0f 2 digit numbers = 10 to 99 = 90*2 = 180
No. Of 3 digit numbers = 100 to 999 = 900*2 = 2700
Adding these => 2889 digit are there below 1000
Now let x numbers of 4 digits (starting from 1000) be joined so that sum is less than or equal to 28383
=> 2889 + 4x = 28383
=> 4x = 25494 = 25492 + 2
=> x = 6373 + 2 terms
=> 1000 + 6373 - 1 = 7372
( -1 because 1000 is also considered)
=> 28381st term is unit digit of 7372 = 2
Next 4 digits are 7 3 7 3
=> 28383rd term = 3 - 11 years agoHelpfull: Yes(38) No(4)
- last term=first term+(nth term-1)*difference between consecutive digits
last term=1+(28383-1)*1
ans:28383 - 11 years agoHelpfull: Yes(25) No(28)
- 3
No. Of 1 digit numbers = 1 to 9 = 9
No. 0f 2 digit numbers = 10 to 99 = 90*2 = 180
No. Of 3 digit numbers = 100 to 999 = 900*2 = 2700
Adding these => 2889 digit are there below 1000
Now let x numbers of 4 digits (starting from 1000) be joined so that sum is less than or equal to 28383
=> 2889 + 4x = 28383
=> 4x = 25494 = 25492 + 2
=> x = 6373 + 2 terms
=> 1000 + 6373 - 1 = 7372
( -1 because 1000 is also considered)
=> 28381st term is unit digit of 7372 = 2
Next 4 digits are 7 3 7 3
=> 28383rd term = 3 - 11 years agoHelpfull: Yes(12) No(2)
- vinay can u explain that why u add 1000 in 6373....
- 11 years agoHelpfull: Yes(4) No(0)
- tn=a+(nth term-1)*d
tn=1+(28383-1)*1
ans:28383 - 11 years agoHelpfull: Yes(3) No(1)
- 28283
using Ap - 11 years agoHelpfull: Yes(2) No(2)
- 3
No. Of 1 digit numbers = 1 to 9 = 9
No. 0f 2 digit numbers = 10 to 99 = 90*2 = 180
No. Of 3 digit numbers = 100 to 999 = 900*2 = 2700
Adding these => 2889 digit are there below 1000
Now let x numbers of 4 digits (starting from 1000) be joined so that sum is less than or equal to 28383
=> 2889 + 4x = 28383
=> 4x = 25494 = 25492 + 2
=> x = 6373 + 2 terms
=> 1000 + 6373 - 1 = 7372
( -1 because 1000 is also considered)
=> 28381st term is unit digit of 7372 = 2
Next 4 digits are 7 3 7 3
=> 28383rd term = 3 - 11 years agoHelpfull: Yes(1) No(5)
- In this series:-
1st term = 1
2nd term= 2
3rd term= 3
....
9th term= 9
10th term= 10
11th term= 11
13th term= 13
.....
.....
28383rd term= 28383.
.....
- 9 years agoHelpfull: Yes(1) No(0)
- answer will be 3
- 11 years agoHelpfull: Yes(0) No(4)
- @ravendra tiwaree
- 11 years agoHelpfull: Yes(0) No(0)
- @ravendra tiwaree 1000 as it is first four digit no.
- 11 years agoHelpfull: Yes(0) No(0)
- The answer is 3 since the number will be 6373 !!!
- 11 years agoHelpfull: Yes(0) No(1)
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