Mathematics
arriaga12
10

A geometric sequence has a first term of x-y and a common ratio of x+y. what if the third term of the sequence?

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(1) Answers
IndyGiselle

First term t(1)=(x-y) common ratio =(x+y)  (don't omit the parentheses) then the nth term: t(n)=(x-y)(x+y)^(n-1) check: t(1)=(x-y)(x+y)^(1-1)=(x-y)(x+y)^0=(x-y)(1)=(x-y) t(3)=(x-y)(x+y)^(3-1)=(x-y)(x+y)^2 When n is small, t(n) can also be found by repeated multiplication of the common ratio (x+y)

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