Question

Identify the next term in the given number series ?
15,17,22,29,40,?

Answer 1

Identify the next term in the given number series ?

15,17,22,29,40,?

a1=15

a2=17

a3=22

a4=29

a5=40

this is a kind of A.p

difference=a2-a1=17-15=2

difference=a3-a2=22-17=5

difference=a4-a3=29-22=7

difference=a5-a4=40-29=11

as we can see difference between successive terms is a prime number so we can get

a6=a5+next prime number

a6=40+13=53

Answer 2

The given series is 15,17,22,29,40,?

a=15,

1. a+2=b
2. b=17,
3. b+5=c
4. c=22
5. c+7=d
6. d=29
7. d+11=e
8. e=40
9. e+13=f
10. f=53