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Algebra
Geometric Progressions
Excel in math and science
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Concept Quizzes
Let \(\{a_n\}\) be a geometric progression such that \(a_1+a_3=15\) and \(a_2+a_4=30\). What is the sum of the first \(5\) terms of this geometric progression?
Excel in math and science
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by Brilliant Staff
The sum of three numbers in geometric progression is \(52\). If the product of the three numbers is \(1728\), what is the value of the maximum number?
Excel in math and science
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Let \(\{a_n\}\) be a geometric progression such that \[a_5=\frac{15}{16} \mbox{ and } a_8=\frac{15}{128}.\] What is the smallest integer \(n\) for which \(a_n < 0.001\)?
Excel in math and science
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The curve \(y=-x^3+8x^2+40x\) and the line \(y=k\) intersect at \(3\) distinct points. If the \(x\)-coordinates of these \(3\) points form a geometric progression, what is the real number \(k?\)
Excel in math and science
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\(3\) real numbers that form a geometric progression have sum equal to \(175\) and product equal to \(17576\). What is the sum of the largest and smallest numbers?
Excel in math and science
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Our wiki is made for math and science
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by Brilliant Staff