SOLUTION: 1) Find the sum of the series. 9 Σ k^2 k=1 2) Find the sum of the series. 6 Σ k^2 k=1 3) Determine which expressions can be used to show the following series

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Question 1085527: 1) Find the sum of the series.
9
Σ k^2
k=1
2) Find the sum of the series.
6
Σ k^2
k=1
3) Determine which expressions can be used to show the following series in summation notation.
- 1/2 + - 1/4 +(- 1/6) + 1/8 +(- 1/10)
4) Evaluate.
s5 for 2500+2000+1600+1280+...
5) Evaluate.
7
Σ 1/16(4)^k+1
k=1
enter only the sum.
6) Find the sum of the first six terms of the geometric series in which a3 is -18 and a6 is 486.
7) Evaluate.
9
Σ 3k+4
k+1
enter only the sum.
8) Enter the explicit formula for the given series.
-4+(-9)+(-14)+(-19)+(-24)+(-29)=6 ?
Σ
k=1
9) Find the sum of the series.
32
Σ k
k=1
10) Evaluate.
s21 for 23+20+17+14+...
enter only the sum.
Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.
1) Find the sum of the series.

9
Σ k^2  =  at n = 9     =   = calculate it on your own . . . 
k=1

Regarding the general formula, see the lesson
    - Mathematical induction for sequences other than arithmetic or geometric
in this site.


Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Method of Mathematical induction".


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