Question

The nth term of a sequence is 25-3n

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

Answer 1

22, 19, 16 and - 5

Explanation:

To evaluate any term from the n th term formula substitute the terms position value for n

given
`a_(n)` = 25 - 3n, then

(a)

`a_(1)` = 25 - (3 × 1) = 25 - 3 = 22

`a_(2)` = 25 - (3 × 2) = 25 - 6 = 19

`a_(3)` = 25 - (3 × 3) = 25 - 9 = 16

(b)

`a_(10)` = 25 - (3 × 10) = 25 - 30 = - 5