BiNiomIal

\mathfrak{Evaluate-}

\boldsymbol{\sum_{i=1}^{100}{\binom{100}{i}}\left ( 2^{i-1} \right )\left ( 1+3^{100-i} \right )}

3 Answers

62
Lokesh Verma ·

this is simple

all you have to do is divide it into two sums

and write it as summation of nCr x^r

So you will have 2 sums.. can you pull it off?

1
xYz ·

@sir i think he gave for practice[4]

1
Che ·

yes xyz

ans is 5100-12

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