Answer
$\approx 0.153$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6612e2ad-a8bb-4b2b-8e61-91df9d316026/result_image/1509394136.jpeg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240626%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240626T183657Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=b74f6976b2582eedc8a74133962c7ab4f8a0dba3196197d1a2cc341283f0e46a)
Work Step by Step
Using graphing calculator as asked in question we get
$\sum ^{15}_{j=5}\dfrac {1}{j^{2}+1} \approx 0.153$
(Also shown in picture)
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6612e2ad-a8bb-4b2b-8e61-91df9d316026/steps_image/small_1509394136.jpeg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240626%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240626T183657Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=0a81e72f600a7b09ee0a13f8f1213f452e46cb25bd44b5e6c37e57c42c4cb15a)
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