Math Forum :: View topic – sum

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sai

Joined: 01 May 2004Posts: 2

Location: HK

Posted: Sat May 01, 2004 12:04 pm    Post subject: sum

a+(a+1)r+(a+2)r^2+…+(a+n-1)r^(n-1)=?

Peter

Frequent VisitorJoined: 18 Jan 2004Posts: 128

Location: Hong Kong

Posted: Sat May 01, 2004 3:50 pm    Post subject: Re: sum

If , then the required sum is equal to .

For , write

.

The first sum can be readily found to be .

The second sum may be found by differentiation, yet you may proceed as follows:

. Therefore the required sum

._________________

Therefore do not worry about tomorrow, for tomorrow will worry about itself. Each day has enough trouble of its own.

sai

Joined: 01 May 2004Posts: 2

Location: HK

Posted: Sat May 01, 2004 6:20 pm    Post subject:

thx

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