tmua 2019 Q3

tmua · Uk · paper1 1 marks Binomial Theorem (positive integer n) Evaluate a Summation Involving Binomial Coefficients

Find the coefficient of $x$ in the expression:
$$(1+x)^0 + (1+x)^1 + (1+x)^2 + (1+x)^3 + \cdots + (1+x)^{79} + (1+x)^{80}$$

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Find the coefficient of $x$ in the expression:

$$(1+x)^0 + (1+x)^1 + (1+x)^2 + (1+x)^3 + \cdots + (1+x)^{79} + (1+x)^{80}$$