Explanation Given Information: The provided geometric sequence is, 8 , − 2 , 1 2 , − 1 8 , … Formula Used: The common ratio is found by dividing a term by the preceding-term. That is, r = a n + 1 a n Calculation: Let a n = − 8 and a n + 1 = − 2 . Substitute the value of a n = − 8 and a n + 1 = − 2 in the formula r = a n + 1 a n

ALEKS CORPORATION ALEKS 360 IA BEG & INT

6th Edition

ISBN: 9781264242221

Author: Miller

Publisher: MCG

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 14.4, Problem 15PE

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To calculate: The common-ratio(r) of the geometric progression 8,−2,12,−18,…

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Chapter 14.4, Problem 14PE

Chapter 14.4, Problem 16PE

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1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)

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Chapter 14 Solutions

ALEKS CORPORATION ALEKS 360 IA BEG & INT

Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

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The common-ratio ( r ) of the geometric progression 8 , − 2 , 1 2 , − 1 8 , …

Solution Summary: The author explains how the common ratio is found by dividing a term by the preceding-term.

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Chapter 14 Solutions