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IQuestion 4] A. What is the 50th of the sequence with terms -21, -18, -15, -12..? B. The 10th and 15th terms of an AP are 20 and 60, respectively. Find the 30h and 100th terms. C. The sum of the first n-terms of a series is S, where S, =(3n-4). Show that the terms of %3D

IQuestion 4] A. What is the 50th of the sequence with terms -21, -18, -15, -12..? B. The 10th and 15th terms of an AP are 20 and 60, respectively. Find the 30h and 100th terms. C. The sum of the first n-terms of a series is S, where S, =(3n-4). Show that the terms of %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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IQuestion 4] A. What is the 50th of the sequence with terms -21, -18, -15, -12..? B. The 10th and 15th terms of an AP are 20 and 60, respectively. Find the 30th and 100th terms. C. The sum of the first n-terms of a series is S, where S, =(3n-4). Show that the terms of the sequence formed using this rule is an A.P. D. The 3rd and 5th terms of a geometric series are 5.4 and 1.944, respectively and all the terms in the series are positive. For this series find i. the common ratio. ii. The first term iii. The sum to infinity
Transcribed Image Text:IQuestion 4] A. What is the 50th of the sequence with terms -21, -18, -15, -12..? B. The 10th and 15th terms of an AP are 20 and 60, respectively. Find the 30th and 100th terms. C. The sum of the first n-terms of a series is S, where S, =(3n-4). Show that the terms of the sequence formed using this rule is an A.P. D. The 3rd and 5th terms of a geometric series are 5.4 and 1.944, respectively and all the terms in the series are positive. For this series find i. the common ratio. ii. The first term iii. The sum to infinity
IQuestion 3] A. Compute the value of x in the following i. 4* = 32 ii. 25B*+1) = 625 B. Express the following as a single logarithm i. % log 25 – 2log 3 +2log 6 ii. log (x+1)–log (x²-1) C. A culture of bacteria starts with 500 bacteria and increases exponentially. The relationship between the number of bacteria present B present in the culture and the time elapsed, d in days is modelled by the following equation B = 50 10 In how many days will the culture reach 1 600000 bacteria?
Transcribed Image Text:IQuestion 3] A. Compute the value of x in the following i. 4* = 32 ii. 25B*+1) = 625 B. Express the following as a single logarithm i. % log 25 – 2log 3 +2log 6 ii. log (x+1)–log (x²-1) C. A culture of bacteria starts with 500 bacteria and increases exponentially. The relationship between the number of bacteria present B present in the culture and the time elapsed, d in days is modelled by the following equation B = 50 10 In how many days will the culture reach 1 600000 bacteria?
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