Question

This set of exercises will draw on the ideas presented in this section and your general math background. Given two terms of an arithmetic sequence, $a_{2}=14$ and $a_{6}=2,$ find $\sum_{k=1}^{8} a_{k} .$ (Hint: First find $d$ and $a_{0}$ )

          This set of exercises will draw on the ideas presented in this section and your general math background.
Given two terms of an arithmetic sequence, $a_{2}=14$ and $a_{6}=2,$ find $\sum_{k=1}^{8} a_{k} .$ (Hint: First find $d$ and $a_{0}$ )

Added by Robert A.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert James Kiss

09/11/2022

Step 1

Given $a_{2} = 14$ and $a_{6} = 2$, we can find $d$ by subtracting the terms: $a_{6} - a_{2} = 2 - 14 = -12$ So, $d = -12/4 = -3$. Show more…

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This set of exercises will draw on the ideas presented in this section and your general math background. Given two terms of an arithmetic sequence, $a_{2}=14$ and $a_{6}=2,$ find $\sum_{k=1}^{8} a_{k} .$ (Hint: First find $d$ and $a_{0}$ )