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  • <img alt="(1+x)\left(1+x+x^2\right)\left(1+x+x^2+x^3\right) \ldots \ldots\left(1+x+x^2+\ldots \ldots+x^{100}\right)" src="https://entrancecorner.oncodecogs.com/gif.latex?%281&plus;x%29%5Cleft%2

(1+x)\left(1+x+x^2\right)\left(1+x+x^2+x^3\right) \ldots \ldots\left(1+x+x^2+\ldots \ldots+x^{100}\right) when written in the ascending power of x then the highest exponent of x is......

Option: 1

4950


Option: 2

5050


Option: 3

5150


Option: 4

none


Answers (1)

best_answer

Highest exponent in the product of first two is 3 = 1 + 2

Highest exponent in the product of first three is 6 = 1 + 2 + 3

Similarly, Highest exponent in the product of first hundred = 1+2+....+100 = 5050

 

Posted by

himanshu.meshram

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