Question

Jeremiah Holmes

Nth Term of an Arithmetic Sequence
Jan 15, 3:13:55 PM
Find the 81st term of the arithmetic sequence –28, -34, -40, ...
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attempt 1 out of 2

Answer 1

- 508

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 28 and d = - 34 - (- 28) = - 34 + 28 = - 6, thus

`a_(81)` = - 28 + (- 6 × 80) = - 28 - 480 = - 508