Find the 82nd term of the arithmetic sequence -8, 9, 26, .….
First, find the common difference among the terms. When you jump from -8 to 9 and then from 9 to 26,
you are increasing by 17 on each jump. The common difference is 17. To find the 82nd term, start with -8 and then add 17, 81 more times, since you are looking for the 82nd term. = -8 + 17(81) {start with -8 and add 17, 81 times} = -8 + 1,377 {multiplied 17 by 81} = 1,369 {added} The 82nd term is 1,369 Here is a video explaining a similar one. Enjoy!
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