First slide

Binomial theorem for positive integral Index

Question

$The total number of terms in the expansion of (x + a)^{100} + (x - a)^{100} is$

Very Easy

A

202
B

51
C

101
D

50

Solution

$T h e t o t a l n u m b e r o f t e r m s i n t h e e x p a n s i o n o f {(x + a)}^{n} + {(x - a)}^{n} i s \frac{n}{2} + 1 i f n i s e v e n a n d \frac{n + 1}{2} i s n o d d . ∴ T h e t o t a l n u m b e r o f t e r m s i n t h e e x p a n s i o n o f {(x + a)}^{100} + {(x - a)}^{100} i s \frac{100}{2} + 1 = 51$

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