SOLUTION: geometric sequence 2,P,Q,250. find the values of P and Q

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Question 938150: geometric sequence 2,P,Q,250. find the values of P and Q
Answer by rothauserc(4718) About Me  (Show Source):
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geometric sequence 2,P,Q,250
Xn = ar^(n-1) where a is the the first term and r is the common ratio
X4 = 250 = 2r^3
r^3 = 125
r = 5
now we can solve for P and Q
X2 = P = 2*5^1 = 10
P = 10
X3 = Q = 2*5^2 = 50
Q = 50
therefore
P = 10, Q = 50