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Formula for Sum of n Terms of an AP

The sum of th...

Question

The sum of the series $\frac{1}{5}, \frac{2}{5}, \frac{3}{5}, . . ., \frac{79}{5}$ is

A

632

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B

1264

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C

756

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D

842

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Solution

The correct option is A $632$
$\frac{1}{5} + \frac{2}{5} + \frac{3}{5} + . . . + \frac{79}{5}$
$= \frac{1}{5} (1 + 2 + 3 + . . . + 79)$
$= \frac{1}{5} (\frac{79 (79 + 1)}{2}) = 79 \times 8 = 632$

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Q. The sum of n terms of the series,

\frac{1}{\sqrt{1} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{7}} + . . . . . . . . . .

n

terms of the series

\frac{1}{1 + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{7}} + . . .

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Formula for Sum of n Terms of an AP

Standard X Mathematics

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