Find the 87th term of the arithmetic sequence –19, -13, -7,...

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Question:

Find the 87th term of the arithmetic sequence –19, -13, -7,...

Answers

Answer:87th term is 497Step-by-step explanation:first, you have to find the nth term:figure out the difference between your set of numbers (in our case +6)that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.nth term= 6n-25now replace n with 87.final step:87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497497 is your 87th term.

Answer:-535Step-by-step explanation:[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]

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