Question

Part one: Sequence and Series

1)

Find the 29th term of the arithmetic sequence in which a=13 and d = -2.5

Answer 1

- 57

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a + (n - 1)d

where a is the first term and d the common difference

Here a = 13 and d = - 2.5, thus

`a_(29)` = 13 + (28 × - 2.5) = 13 - 70 = - 57