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help?series?

0 votes

asked Jun 1, 2015 in CALCULUS by anonymous

3 Answers

0 votes

(6)

Step 1:

The series is image.

The series is sum of 4 natural numbers.

The series can be represented in a summation sigma form.

image

Here the variable image represent the starting and ending of the series.

Solution :

image.

answered Jun 1, 2015 by yamin_math Mentor
edited Jun 1, 2015 by yamin_math
0 votes

(7)

Step 1:

The series is image.

Rewrite the series image.

The series is the sum of squares of first 5 natural numbers.

The series can be represented in a summation sigma form.

image

Here the variable image represent the starting and ending of the series.

Solution :

image.

answered Jun 1, 2015 by yamin_math Mentor
0 votes

(8)

Step 1:

The series is image.

Expand the series.

image.

Observe the above sequence, each term is having additional 7 and 8.

image

It can be rewrite as image.

image

Solution :

image.

answered Jun 1, 2015 by yamin_math Mentor

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