Find S, for the geometric sequences: 4,-20, 100

Danelle Albright

Danelle Albright

Answered question

2022-01-07

Find S, for the geometric sequences: 4,20,100

Answer & Explanation

kalfswors0m

kalfswors0m

Beginner2022-01-08Added 24 answers

The sequence has a ratio that is common to
r=204=5r 
=10020=5 
Since, the value of the r<1, the formula for the sum of the n term of the series is: 
Sn=a(1rn)1r 
The total of the first five terms is then
S5=4(1(5){5})1(5) 
=4(1+3125)1+5 
=431266 
=4(521)=2084 
Thus, the sum of the first five terms is 2084.

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