Question

Write the explicit formula for the following sequence.
2, 5, 8, 11, ...

Answer 1

add by 3

Explanation:

11-8=3, 8-5=3, 5-2=3

Answer 2

First let's first find the common difference

d = 5 - 2 = 3

First term a = 2

The formula is

U(n) = a + (n - 1)d where n is the number of terms

= 2 + (n - 1)3

= 2 + 3n - 3

= 3n - 1

Hope this helps.