Question

, list the first five terms of each sequence, and identify them as arithmetic or geometric.

Answer 1

Answer: -2, 2, 6, 10, 14

It is an Arithmetic sequence.

Step-by-step explanation:

Given Recursive formula : $A(n + 1) = A(n) + 4$ ,  for n ≥ 1 and A(1) = -2.

$A(2)=A(1 + 1) = A(1) + 4=-2+4=2$

$A(3)=A(2 + 1) = A(2) + 4=2+4=6$

$A(4)=A(3 + 1) = A(3) + 4=6+4=10$

$A(5)=A(4 + 1) = A(4) + 4=10+4=14$

Hence, the  five terms of given sequence= -2, 2, 6, 10, 14

Since, there is common difference of 4 in two consecutive terms.

Therefore, it is an Arithmetic sequence.