# what is the first 4 terms of each infinite geometric series if t1=4 and r=1/5

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Expert Answers

embizze | Certified Educator

t(1)=4

t(2)=4+4/5=24/5

t(3)=4+4/5+4/25=124/25

t(4)=4+4/5+4/25+4/125=624/125

For each nth term we take t(1) times r^(n-1): e.g. when n=4 we have 4(1/5)^3=4/125

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The first four terms are 4+4/5+4/25+4/125

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The sequence of partial sums is 4, 24/5, 124/25, 624/125