Question

The nth term of a sequence is 3n+2

a)work out first three term of sequence.
b)work out the tenth term of the sequences

Answer 1

5, 8, 11 and 32

Explanation:

To find any term from an nth term formula, substitute the value of the term's position for n. that is

given
`a_(n)` = 3n + 2, then

(a)

`a_(1)` = (3 × 1) + 2 = 3 + 2 = 5

`a_(2)` = (3 × 2) + 2 = 6 + 2 = 8

`a_(3)` = (3 × 3) + 2 = 9 + 2 = 11

(b)

`a_(10)` = (3 × 10) + 2 = 30 + 2 = 32