2. Sum of how many terms of G.P. 8, 16, 32, 64, ... will
be 8184?
Answers
Answered by
2
Answer:4092
Step-by-step explanation:
x 2 x 2 x 2
8,16,32,64
^ ^ ^
HOPE YOU UNDERSTAND ^_^
Answered by
0
Answer:
Given,
A series= 8, 16, 32, 64,....
The sum of the series = 8184.
To Find,
The series has how many terms?
Solution,
We can simply find the number of terms in the series by using the sum formula of sequence and series.
We can see that the given series is a geometric progression.
Sum of n terms of a G.P= a(rⁿ-1)/ r-1.
n= number of terms.
a= first term of the G.P.
r= common ratio.
8184= 8× (2ⁿ-1)/ (2-1).
8184/8= 2ⁿ-1.
1023+1= 2ⁿ.
1024= 2¹⁰= 2ⁿ.
n=10.
Hence, the number of terms in the series that have a sum of 8184 are 10 terms.
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