The second term of a geometric sequence is 2 and the fifth term is250. What is the seventh term?

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2022-09-01

The second term of a geometric sequence is 2 and the fifth term is250. What is the seventh term?

Answer & Explanation

Mario Kerr

Mario Kerr

Beginner2022-09-02Added 5 answers

t 2 = 2 t 5 = 250 t 2 = ar where a is the first termand r is the commonratio t  sub  2 = 2 t s 5 = a r 4 250  if we divide the second equation by the firstwe get r 3 125  so  r = 5  and  2 5  a so a  = 2 5 I 7 ( 2 5 ) 5 6 = 2 3125

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