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Chapter 12: Q. 12.24 (page 1172)

Write each sum using summation notation: −2 + 4 − 6 + 8 − 10.

Short Answer

Expert verified

The sum written in summation notation is

−2+4−6+8−10=∑n=15−1n2⋅n.

Step by step solution

01

Step 1. Given information

Thegivensumis−2+4−6+8−10.Wehavetowritethesumusingsummationnotation.

02

Step 2. Find the pattern

Now,

We look for a pattern in the terms.

n:12345...nTerms−24−68−10...Pattern−112⋅1−122⋅2−132⋅3−142⋅4−152⋅5...−1n2⋅n

03

Step 3. Conclusion

From the above table, we can observe that that the general term is −1n2⋅n

Therefore,

The sum of −2 + 4 − 6 + 8 − 10 can be written as∑n=15−1n2⋅n

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