Hello aspirant,

For the given question, you need to solve by Binomial Theorem of mathematics which states the possible way of expanding the polynomial ( x + y ) ⁿ into a sum, involving terms such as ax ^b y ^c .

By this, if we apply the general formula, then the coefficient of x ^100 in the given equation will be C(201, 201-100)= C(201,101). NOTE: Here we are using combination to calculate the answer, according to the mathematical formula. And since 1 raised to the power of any number >0 is 1, so we can ignore the term.

Hope this helps.

Feel free to ask for any other queries in the comment section.

Hello Aspirant

The coefficient of x^100 in the (1+x) +(1+x)^2 +(1+x)^3 +.........+(1+x)^200 is 201C101

You can solve this by the coefficent method and you can check out the solvation videos in many videos on google.

Hope it helps

Thank you & Good Luck!!!