Find the sum of an infinite geometric series with the first term 8 and the fourth term 27 .
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Answer:
-16
Step-by-step explanation:
first term(a) = 8
fourth term = 27
ar^3=27
8× r^3 =27
r^3= 27÷8
r^3= (3/2)^3
r=3/2
sum of an infinite geometric series
= a/(1-r)
= 8/(1-3/2)
=8 ÷ (-1/2)
= 8 × -2
= -16
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