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Chapter 12: Q. 12.24 (page 1172)

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

Short Answer

Expert verified

The sum written in summation notation is

鈭�2+4鈭�6+8鈭�10=鈭�n=15鈭�1n2鈰�n.

Step by step solution

01

Step 1. Given information

Thegivensumis鈭�2+4鈭�6+8鈭�10.Wehavetowritethesumusingsummationnotation.

02

Step 2. Find the pattern

Now,

We look for a pattern in the terms.

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

03

Step 3. Conclusion

From the above table, we can observe that that the general term is 鈭�1n2鈰�n

Therefore,

The sum of 鈭�2 + 4 鈭� 6 + 8 鈭� 10 can be written as鈭�n=15鈭�1n2鈰�n

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Most popular questions from this chapter

Find the twenty-first term of a sequence where the first term is three and the common difference is eight.

Find the thirteenth term of a sequence where the first term is 81and the common ratio is r=13.

Find the twenty-seventh term of a sequence where the first term is 7 and the common difference is 9.

Find the sum of the first 30 terms of the arithmetic sequence: 5, 9, 13, 17, 21, 鈥�.

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.

a1=5andd=3
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