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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?

Answer :

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

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