Question

Ramanujan proposed this problem to Indian Mathematical journal in 1911 and gave its solution after 6 months. What was the value of x Ramanujan proposed?​

Answer 1

Answer:

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Step-by-step explanation:

Our first question is to prove the following equation involving an infinite nested radical. In 1911, Ramanujan sent the right-hand side of the following equation to a mathematical journal as a puzzle

If you are intimidated by this at first sight, don’t be! As I mentioned above, you can prove this result with no more than middle-school algebra. All you need is the following elementary result:

(x + 1)2 = x2 + 2x + 1 = x(x + 2) + 1

Rearrange the terms to get: (x + 1)2 = 1 + x(x + 2)

Now if we substitute 2, 3 and 4 for x, we get:

32 = 1 + 2(4), 42 = 1 + 3(5), 52 = 1 + 4(6), …

And believe it or not, that’s all you need to prove the intimidating-looking result above. Can you do it?

please mark me as brainliest

please mark me as brainliest

please mark me as brainliest