100, -50, 25, -125 how to solve for the ratio
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100, -50, 25, -125 how to solve for the ratio
100, -50, 25, -125 how to solve for the ratio
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Answer:
Step-by-step explanation:
A way to find the common ration in geometric sequences is to put a term over its preceeding term. Let's use the second term and the first term. It will be . Just simplify to get .
A thing to remember is that if the sequence has alternating signs, the common ratio is negative. Also, of the absolute values of the terms are decreasing, the common ratio is a fraction.
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Verified answer
Answer:
r = - 1/2
Step-by-step explanation:
Let
an = 25
n = 3
a = 100
an = ar ^ (n - 1)
25 = 100r ^ (3-1)
25 = 100r²
sqrt (25/100) = r
r= ± 1/2
since the first term is positive and the second term is negative, we'll take - 1/2 as the common ratio, therefore geometric.