Question : Find the sum of 3 + 32 + 33 + ... + 38.
Option 1: 6561
Option 2: 6560
Option 3: 9840
Option 4: 3280
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Correct Answer: 9840
Solution :
The given sequence represents GP of constant ratio $r$ = 3,
The sum of a Geometric progression (GP) of $n$ terms with first term $a$ and common ratio equal to $r$ = $\frac{a\times{(r^{n}-1)}}{r-1}$
According to the question $n = 8, a = 3$
$\therefore$ Sum = $\frac{3\times{(3^{8}-1)}}{3-1}$ = 9840.
Hence the correct answer is 9840.
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