Find each sum.

1+3+7+...+4n5

Short Answer

Expert verified

The sum of the given sequence is2n23n.

Step by step solution

01

Step 1. Given information

Thegivensequenceis1+3+7+...+4n5.

We have to find the sum of the sequence.

02

Step 2. calculating the sum

ThesumofthearithmeticsequenceisgivenasSn=na1+an2Wehave,a1=1an=4n5Thus,Sn=n1+4n52=n4n62=4n26n2=2n23n

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