Question

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Find the 93rd term of the arithmetic sequence -5, -15, -25,...

Answer 1

Arithmetic sequence is
`a_n=-10n+5`

93rd term is -925

Explanation:

Each subsequent term is decreased by 10 and the first term is -5, so we can generate an arithmetic sequence:

`a_n=a_1+(n-1)d\\a_n=-5+(n-1)(-10)\\a_n=-5-10n+10\\a_n=-10n+5`

So, the 93rd term would be:

`a_(93)=-10(93)+5=-930+5=-925`