Question

14 5 18 24 15 28 34 __

Answer 1

This sequence seems to apply -9, +13, +6 repeatedly.
So after the 34, the -9 has to be applied. The next number would be 25.

Answer 2

Answer with Step-by-step explanation:

We are given a sequence and we are asked to find the next term.

14 5 18 24 15 28 34

The above term could be viewed as 3 different sequences

i.e. 1 st term,4 th term,...

2 nd term,5 th term,...

3 rd term,6 th term,...

Let nth term of this sequence be denoted by A(n)

then, A(4)=A(1)+10,A(7)=A(4)+10,...

A(5)=A(2)+10,A(8)=A(5)+10,...

A(6)=A(3)+10,A(9)=A(6)+10,...

i.e. A(n+3)=A(n)+10

A(8)=A(5)+10

     = 15+10

     = 25

Hence, next term is:

25