Use the formula for the sum of a geometric series to find the sum, or state that the series diverges. frac{7}{8}-frac{49}{64}+frac{343}{512}-frac{2401}{4096}+...

ankarskogC

ankarskogC

Answered question

2021-02-15

Use the formula for the sum of a geometric series to find the sum, or state that the series diverges.
784964+34351224014096+...

Answer & Explanation

escumantsu

escumantsu

Skilled2021-02-16Added 98 answers

Indicated geometrical series is 784964+34351224014096+... 
First term of the series is a1=78 
The usual ratio will be:
r=a2a1 
=(4964)(78) 
=496487 
=78 
The sum of geometric series' infinite terms is expressed as:
S=a11r 
As a result, the sum of the given geometric series is:
S=78(1(78)) 
=78(1+78) 
=78(158) 
=715 
Hence, required sum of the given series is 715

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-27Added 2605 answers

Answer is given below (on video)

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