babeeb0oL

2021-08-17

Find the 55th term of the arithmetic sequence 2, -18, -38,

tabuordy

Skilled2021-08-18Added 90 answers

Formula to find the nth term of an arithmetic sequence is

${a}_{n}={a}_{1}+d(n-1)$

${a}_{2}-{a}_{1}=-18-2=-20$

${a}_{3}-{a}_{2}=-38-(-18)=-38+18=-20$

Common difference $=d=-20$

${a}_{n}={a}_{1}+d(n-1)$

${a}_{55}=2+(-20)(55-1)$

${a}_{55}=2+(-20)\left(54\right)$

${a}_{55}=2-1080$

${a}_{55}=-1078$

The 55th term of an arithmetic sequence is -1078.

Jeffrey Jordon

Expert2022-08-02Added 2605 answers

madeleinejames20

Skilled2023-06-17Added 165 answers

Nick Camelot

Skilled2023-06-17Added 164 answers

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