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Q.
$A.M $. of the series $1, 3, 9, 27, \dots, 3^{n}$ is
Statistics
Solution:
$A.M. =\frac{1+3+9+27+\ldots+3^{n}}{n+1}$
$=\frac{1\left(3^{n+1}-1\right)}{\left(3-1\right)\left(n+1\right)} $ (As number of items are n + 1)
$=\frac{3^{n+1}-1}{2\left(n+1\right)}$