Question
Download Solution PDFFind the sum of 3 + 32 + 33 + .......... + 38.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Find the sum of 3 + 32 + 33 + .......... + 38.
Formula used:
Sum of geometric series: S = a(1 - rn) / (1 - r)
Where,
a = first term, r = common ratio, n = number of terms
Calculation:
Here, a = 3, r = 3, and n = 8
S = 3(1 - 38) / (1 - 3)
⇒ S = 3(1 - 6561) / (1 - 3)
⇒ S = 3(-6560) / (-2)
⇒ S = 3 × 3280
⇒ S = 9840
∴ The correct answer is option 1.
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