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Chapter 12: Q. 40 (page 816)

Find each sum.

鈭�1+3+7+...+4n鈭�5

Short Answer

Expert verified

The sum of the given sequence is2n2鈭�3n.

Step by step solution

01

Step 1. Given information

Thegivensequenceis鈭�1+3+7+...+4n鈭�5.

We have to find the sum of the sequence.

02

Step 2. calculating the sum

Thesumofthearithmeticsequenceisgivenas鈬�Sn=na1+an2Wehave,a1=鈭�1an=4n鈭�5Thus,鈬�Sn=n鈭�1+4n鈭�52=n4n鈭�62=4n2鈭�6n2=2n2鈭�3n

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Most popular questions from this chapter

In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

6+2+23+.....

Fibonacci Sequence: Let

un=(1+5)n-(1-5)n2n5

define the nth term of a sequence.

(a) Show that u1= 1 and u2 = 1.

(b) Show that un+2 = un+1 + un.

(c) Draw the conclusion that {un} is the Fibonacci sequence.

In Problems 71-82, find the sum of each sequence.

鈭�k=1060(2k)

Problems 17鈥�28, write down the first five terms of each sequence.

cn=-1n+1n2

True or False. A function is a relation between two sets D

and R so that each element x in the first set D is related to exactly one element y in the second set R.
See all solutions

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