if n is first term ina g.p determination of the sum (2×3^n-1 +1))in this terms first termsr terms+answer
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11th
Maths
Sequences and Series
Sum of n Terms of G.P
Determine the sum of the fi...
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Asked on December 26, 2019 by
Nazish Meda
Determine the sum of the first 8 terms of the G.P. 1,2,4,8...
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ANSWER
Given series is 1,2,4,8,....
To find the sum of the first S
n
terms of a geometric sequence using the formula.
From given question, we have
a=1,r=2,n=8
Therefore, S
n
=
1−r
a
1
(1−r
n
)
⇒S
8
=
1−2
1(1−(2)
8
)
⇒S
8
=
−1
1(−255)
⇒S
8
=255
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