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If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values of "r" and the 19th term?
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Mar 16, 2022
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If the 7th term of a geometric sequence is 448 and the 17th term is
458752, what are the values of "r" and the 19th term?
Mathematics
high-school
Squidly
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a7 = a1*q^(7-1) = 448
a17=a1*q^(17-1) = 458752
(a1*q^(16) = 458752)/(a1*q^(6)= 448)
q^(10)= 1024
q = 1024^(1^10)
q = 2
a1*q^(7-1) = 448
a1*2^(6) = 448
64a1 = 448 /64
a1 = 7
a19 = 7 *2^(19-1)
a19=7*2^(18) = 1,835,008
a19= 1,835,008
Pouya Heydari
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Mar 21, 2022
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Pouya Heydari
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