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#1 2009-10-10 22:02:24

soha
Real Member
Registered: 2006-07-07
Posts: 2,530

Arithmetic Progression sum

Try solving these:-

1) Find the sum of the
a) first 11 terms of AP 2, 6, 10...
b) first 13 terms of the AP -6, 0,6,...
c) first 51 terms of the AP whose second term is 2 and fourth term is 8.

2) Evaluate S12 for arithmetic sequence...

-9,-5,-1,3,7.......


"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!" smile smile
- David O. McKay

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#2 2009-10-11 09:41:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,562

Re: Arithmetic Progression sum

Hi soha;

By the formula:

Where
Sn = sum to n terms
n is the number of terms
d = constant difference
s1= first term

a)

Formula:


b)

c)

s2 = 2 and s4 = 8 Add them both up and divide by 2 to get 5. This gives you a constant term of 3 (5-2 = 3 , 8 - 5 = 3)

The sequence is:

-1,2,5,8,11...

Glad to help ya!!!

Last edited by bobbym (2009-10-11 10:08:21)


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#3 2009-10-11 19:48:03

soha
Real Member
Registered: 2006-07-07
Posts: 2,530

Re: Arithmetic Progression sum

Yippee!!!! Right!!!


"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!" smile smile
- David O. McKay

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