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Find the sum of "n" term …

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Find the sum of "n" term of the series : [4 - 1/n] + [4 - 2/n] + [4 - 3/n] + ...............

Posted by Somil Modi 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Ram Kushwah 6 years, 10 months ago

this is an AP

a=4-1/n ,d=-1/n

so Sn=n/2{ 2(4-1/n) +(n-1)(-1/n)}

=n/2 x (8-2/n-1+1/n)

=n/2 x(7-1/n)

=n/2 x (7n-1)/n=(7n-1)/2

1Thank You

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CBSE > Class 10 > Mathematics