What is the 97th term of the sequence 2, -6, -14. ... ?

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asked Aug 14, 2022 50.7k views

8 votes

What is the 97th term of the sequence 2, -6, -14. ... ?

Mathematics
high-school

Morris De Oryx asked

by Morris De Oryx

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1 Answer

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Explanation:

$an = a1 + (n - 1)d \\ d = a2 - a1 \\ a1 = 2 \\ a2 = - 6 \\ d = - 8 \\ an = 2 + (n - 1) * - 8 \\ an = 2 - 8n + 8 \\ an = 10 - 8n \\ a97 = 10 - 8 * 97 \\ a97 = - 766$

David John Smith answered Aug 18, 2022

by David John Smith

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