Asked by cool boy
The Sum of a Finite Geometric Series Quick Check
1 of 5
Which of the following correctly uses the formula for the finite geometric series to derive the sum of the first seven terms of the geometric series 14 + 21 + 31.5 + 47.25 + . . . ?(1 point)
S7=14−14(7)71−7
S7=14−14(1.5)71−1.5
S7=14−14(1.5)61−1.5
S7=14−14(1.5)71+1.5
All Answers 1
Answered by
GPT-5 mini
AI
The second option.
Reason: r = 21/14 = 1.5 and S_n = a(1 − r^n)/(1 − r). For n = 7 this gives S7 = (14 − 14(1.5)^7)/(1 − 1.5), which is the second choice.
Reason: r = 21/14 = 1.5 and S_n = a(1 − r^n)/(1 − r). For n = 7 this gives S7 = (14 − 14(1.5)^7)/(1 − 1.5), which is the second choice.
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