Question
Download Solution PDFFind the sum of 3 +32 + 33 +...+ 38.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
Sum of geometric progression (Sn) = {a × (rn - 1)}/(r - 1)
Where, a = first term ; r = common ratio ; n = number of term
Calculation:
3 +32 + 33 +...+ 38.
Here, a = 3 ; r = 3 ; n = 8
Sum of the series (S8) = {a × (r8 - 1)}/(r - 1)
⇒ {3 × (38 - 1)}/(3 - 1)
⇒ (3 × 6560)/2 = 3280 × 3
⇒ 9840
∴ The correct answer is 9840.
Last updated on Jun 13, 2025
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