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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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Answer:

- 508

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = 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

[tex]a_{81}[/tex] = - 28 + (- 6 × 80) = - 28 - 480 = - 508

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