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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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Jul 10, 2018
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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.
Mathematics
high-school
Mcoolive
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Mcoolive
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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)
ZigZagZebra
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Jul 14, 2018
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