Question

Identify the series 2 + 5 + 8 + 11 + 14 + . . . as arithmetic, geometric or neither.

Answer 1

2, 5, 8, 11, 14 is an arithmetic sequence


`a_1=2;\ d=3;\ a_n=2+(n-1)\cdot3=2+3n-3=3n-1`

Answer 2

Arithmetic Series

Explanation:

We are given a series 2 + 5 + 8 + 11 + 14 + . . .

We need to choose which series this one.

For geometric: The common ration is equal.

For arithmetic: The common difference is equal.

Series: 2 + 5 + 8 + 11 + 14 + . . .

Common difference : 5 - 2 = 8 - 5 = 14 - 11 = 3

Here, The common difference is equal.

Hence, The series is arithmetic.