Question

√2 - 1/√2 + 1/2√2 - 1/4√2 + ................ infinity. find the sum ​

Answer 1

Answer:

This is an infinite geometric progression where ‘a’(first term) is 1,r is 1/√2

S=a/1-r

S=1/1–(1/√2)

S=√2/√2–1

S=√2(√2+1)/(√2+1)(√2−1)

S=√2(√2+1)

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