cjscruggs cjscruggs

25-01-2021
Mathematics

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

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asmaNasr asmaNasr

26-01-2021

Step-by-step explanation:

[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ a1 = 2 \\ a2 = - 6 \\ d = - 8 \\ an = 2 + (n - 1) \times - 8 \\ an = 2 - 8n + 8 \\ an = 10 - 8n \\ a97 = 10 - 8 \times 97 \\ a97 = - 766[/tex]

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