The terms 140, a, 560 are the first, second and third terms, respectively, of a geometric sequence. If a is positive, what is the value of a ?
The terms 140, a, 560 are the first, second and third terms, respectively, of a geometric sequence. If a is positive, what is the value of a ?
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\(a=140\cdot q\\ \color{blue}140\cdot q^2=560\\ q=\sqrt{\frac{560}{140}}\\ q=2\\ a=140\cdot 2\)
\(a=280\)
The geometric sequence is 140, 280, 560.
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