 # Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is -7. ka1leE 2021-01-02 Answered
Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is -7.
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Step 1
we have to find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is -7.
Step 2
Let the eighth term is denoted by ${a}_{8}$
here
${a}_{1}=$ first term $=4$
$d=-7$
now as we know that ${n}^{th}$ term is given as
${a}_{n}={a}_{1}+\left(n-1\right)d$
where ${a}_{1}$ is the first term an d is the common difference.
${a}_{8}=4+\left(8-1\right)\left(-7\right)$
${a}_{8}=4+7\left(-7\right)$
${a}_{8}=4-49$
${a}_{8}=-45$
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