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
