Compute the infinite sum V1 where V = 1/2 - 2/4 +

Question

Compute the infinite sum V1 where V = 1/2 - 2/4 + 3/8 - 4/16 + 5/32 - 6/64 +… ∞?(a) 2/3(b) 2/9 ((c) 1/6(d) 2/27

Aditya Gupta · Accepted Answer

consider the sum of infinite gp:x – x^2 + x^3 – x^4 + ….= x/(1 + x)now differentiate both sides1 – 2x + 3x^2 – 4x^3 + ...= 1/(1+x)^2multiply by x both sidesx – 2x^2 + 3x^3 – ….= x/(1+x)^2now put x= ½1/2 - 2/4 + 3/8 - 4/16 + 5/32 - 6/64 +… ∞ = 2/9kindly approve :)

Algebra> Compute the infinite sum V1 where V = 1/2...

Compute the infinite sum V1 where V = 1/2 - 2/4 + 3/8 - 4/16 + 5/32 - 6/64 +… ∞?
(a) 2/3
(b) 2/9 (
(c) 1/6
(d) 2/27

Ranjeet Gupta , 6 Years ago

Aditya Gupta

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Algebra> Compute the infinite sum V1 where V = 1/2...

Compute the infinite sum V1 where V = 1/2 - 2/4 + 3/8 - 4/16 + 5/32 - 6/64 +… ∞?(a) 2/3(b) 2/9 ((c) 1/6(d) 2/27

Ranjeet Gupta , 6 Years ago

Aditya Gupta

LIVE ONLINE CLASSES

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Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

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Compute the infinite sum V1 where V = 1/2 - 2/4 + 3/8 - 4/16 + 5/32 - 6/64 +… ∞?
(a) 2/3
(b) 2/9 (
(c) 1/6
(d) 2/27