What is the next number of the following sequence 3, 5, 4, 8, 17, 15, 12, 20, 16, 6, 10 , ?

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22 Aug 2016 Sequence

What is the next number of the following sequence
3, 5, 4, 8, 17, 15, 12, 20, 16, 6, 10 , ?

OPtion

1) 4
2) 18
3) 6
4) 12
5) 14
6) 16
7) 8
8) 2
9) 24
10)21

Solution

(3, 5, 4), (8, 17, 15), (12, 20, 16), (6, 10 , ?)

(a,b,c) => b = sqrt (a^2+c^2)

10 = sqrt(6^2 + c^2)
100 = 36 + c^2
100-36 = c^2
c = sqrt(64) = 8

Option 7)

Correct Option: 7 Best Solution (22)

Ramgopal   8 years AGO

5^2-3^2=4^2
17^2-8^2=15^2
...........
..........
10^2-6^2=8^2
7) 8 is the answer

Like? Yes (5) | No (3)  

c.srinivasan   8 years AGO

3+3=6
5+5=10
4+4=8

Like? Yes (1) | No   

VISHAL.MORI   8 years AGO

3+4/2=4
8+17/2=12.5=15
12+20/2=16
6+10/2=8

Like? Yes (1) | No (1)  

prashant kumar   8 years AGO

middle no is sq.root of sum of sq.of other two no.

sq of 100=sq of 6+sq.of x
x=8

Like? Yes | No   

Ankush Lakhmani   8 years AGO

Combination of every three numbers of the given series are Pythagorean triplets.
5^2=3^2+4^2
17^2=12^2+8^2
20^2=16^2+12^2
Like wise
10^2=8^2+6^2. Hence , the answer is 8.

Like? Yes | No   

Karan   8 years AGO

(3,5,4), ( 8,17,15), (12,20,16) are set of sides of right angle triangle.
Next set with sides 6,10,8.
so next number is 8.

Like? Yes | No   

yerra anitha   8 years AGO

YOU have a sequence of pythagorean triplets,with the biggest number in the middle.
So your first 3 twerms are 3,5,4
our second 3 terms are 8,17,15
your third three terms are 12,20,16
you need a number such thast 10^2-6^2 Iis its square. That number is 8.
Hence ,the next number is eight.

Like? Yes | No   

SURAJ BALANI   8 years AGO

The given sequence is in the form i.e.,
3,5,4=>5^2-3^2=16 which is 4^2,
Similarly for 8,17,15=>17^2-8^2=225 which is 15.
Hence,the next term will be 8 because 10^2-6^2=64 which is 8^2

Like? Yes | No   

Palak Jain   8 years AGO

(3,5,4) pythagorean triplet with biggest number in middle, similarly for (8,17,15), (12,20,16). so for (6,10,?) : 10^2=6^2+x^2. so x=8. therefore missing no. is 8

Like? Yes | No   

darshan   8 years AGO

3,5,4=3,3*2-1,3+1
8,17,15=8,8*3-7,8+7
12,20,16=12,12*2-4,12+4
6,10,8=6,6*2-2,6+2

Like? Yes | No   

Rucha   8 years AGO

3sq+4sq=25=5sq
8sq+15sq=17sq
similarly for 6 10 x
6sq+8sq=10sq

Like? Yes | No   

DEVANSH SUBNANI   8 years AGO

3 5 4
8 17 15
12 20 16
6 10 ?
12/2=6
20/2=10
16/2=8
Option 7)

Like? Yes (2) | No (3)  

MRITUNJAY   8 years AGO

3^2+4^2=5^2

similarly
6^2+8^2=10^2
option 7

Like? Yes | No (1)  

saiprakash   8 years AGO

Every set of 3 no.s satisfy pythogarus theorem
so 36+x^2=100
x=8

Like? Yes | No (1)  

Dhaval Vekariya   8 years AGO

3*3+4*4=25 square root 25=5
6*6+8*8=100 square root 100=10

Like? Yes | No (1)  

Maddala Prem Chandu   8 years AGO

every set of 3 numbers are pythagoras numbers

Like? Yes | No (1)  

Priyaj   8 years AGO

(3^2+4^2)^1/2=5
(8^2+15^2)^1/2=17
. . .. . .
(6^2+8^2)^1/2=10

Like? Yes (1) | No (2)  

Aniket Roy   8 years AGO

5=(3^2+4^2)^1/2,17=(8^2+15^2)^1/2,20=(12^2+16^2)^1/2
so,10=(6^2+b^2)^1/2=>100=36+b^2=>b2=64
so,b=8

Like? Yes | No (1)  

Om Mahesh Patil   8 years AGO

In above series consecutive three numbers are applied by pythagoras theorem
i.e 6^2 + 8^2 = 10^2

Like? Yes | No (1)  

Mukund Manohar   8 years AGO

(3,5,4),(8,17,15),(12,20,16),(6,10,?)
3^2 + 4^2 = 9+16 = 25 = 5^2
8^2 + 15^2 = 64 + 225 = 289 = 17^2
12^2 + 16^2 = 144 + 256 = 400 = 20^2
So, 10^2 - 6^2 = 100 - 36 = 64 = 8^2
8,i.e. option (7) is the next number

Like? Yes | No (1)  

Samjukta Das   8 years AGO

Because first it is given 3 so at the end it's 3*2=6, 5*2=10 so 4*2=8

Like? Yes | No (2)  

PRABHAT KUMAR   8 years AGO

3^2+4^2=5^2
similarly all are triplte
so, 6^2+8^2=10^2
option 7
!!!!!!!!#####!!!!!!!

Like? Yes | No (3)