Question

Write the first three terms in each of the sequence defined by the following : an = 3n+2

Answer 1

3n+2 are 5, 8, and 11.

Explanation:

The sequence defined by the formula an = 3n+2 can be written as follows:

To find the first three terms in the sequence, we can substitute the values of n from 1 to 3 into the formula and simplify the expression:

1. Substitute n = 1:

a1 = 3(1) + 2

a1 = 3 + 2

a1 = 5

2. Substitute n = 2:

a2 = 3(2) + 2

a2 = 6 + 2

a2 = 8

3. Substitute n = 3:

a3 = 3(3) + 2

a3 = 9 + 2

a3 = 11

Therefore, the first three terms in the sequence defined by the formula an = 3n+2 are 5, 8, and 11.