Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET

Previous Year Question (PYQs)



In the expression $(x+1)(x+4)(x+9)(x+16)\cdots(x+400)$ the coefficient of $x^{19}$ is





Solution

Coefficient of $x^{19}$ equals sum of constants: $1+4+9+\cdots+400$ This is sum of squares from $1^2$ to $20^2$: $\frac{20(21)(41)}{6}=2870$ Answer: $\boxed{2870}$


Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More


Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Ask Your Question or Put Your Review.

loading...