Which equation could be used to calculate the sum of

dictetzqh

dictetzqh

Answered question

2021-11-17

Which equation could be used to calculate the sum of the geometric series?
13+29+427+821+16243

Answer & Explanation

Thomas Conway

Thomas Conway

Beginner2021-11-18Added 10 answers

The formula for the nth partial sum of a geometric sequence is,
Sn=a1(1rn)1r, r1
where, Sn is the sum of GP with n terms
a1 is the first term
r is the common ratio
n is the number of terms
The sum of the geometric series given is,
13+29+427+821+16243
There are 5 terms in the series and the common ratio of the series is found by dividing any term by the previous term. Suppose, divide the second term by the first term and the common ratio is obtained as,
r=29÷13
=23
Therefore, r is not equal to 1 and the sum of the given series is,
S5=13(1(23)5)(123)

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