Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 5 and 625, respectively.

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22-07-2017
Mathematics

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Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 5 and 625, respectively.

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Аноним Аноним · Answer 1 · 2017-07-22T10:56:42+02:00

Аноним Аноним

22-07-2017

we can wite the second term as a1r and 5th term as a1r^4 where a1 = first term and r = common ratio.

so (a1r^4) / (a1r) = r^3 = 625/5

r^3 = 125

r = 5

so a1* 5 = 5 giving a1 = 1

explicit rule is an = 5^(n-1)

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