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QUESTION 2 2.1 Consider the sequence: 7:- ; 10; .... 2.1.1 2.1.2 2.2 2.2.1 If the pattern continues in the same way, write down the next TWO terms in the sequence. Calculate the sum of the first 50 terms of the sequence. Consider the sequence: 8; 18; 30; 44; ... Write down the next TWO terms of the sequence, if the pattern continues in the same way. Calculate the nth term of the 2.2.2 sequence. 2.2.3 Which term of the sequence is 330? QUESTION 3 Given the geometric series: 8x²+4x³ +2x++... 3.1 3.2 Determine the nth term of the series. For what value(s) of x will the series converge? 3 3.3 Calculate the sum of the series to infinity if x=. 2

QUESTION 2 2.1 Consider the sequence: 7:- ; 10; .... 2.1.1 2.1.2 2.2 2.2.1 If the pattern continues in the same way, write down the next TWO terms in the sequence. Calculate the sum of the first 50 terms of the sequence. Consider the sequence: 8; 18; 30; 44; ... Write down the next TWO terms of the sequence, if the pattern continues in the same way. Calculate the nth term of the 2.2.2 sequence. 2.2.3 Which term of the sequence is 330? QUESTION 3 Given the geometric series: 8x²+4x³ +2x++... 3.1 3.2 Determine the nth term of the series. For what value(s) of x will the series converge? 3 3.3 Calculate the sum of the series to infinity if x=. 2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 19E
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QUESTION 2 2.1 Consider the sequence: 7:- ; 10; .... 2.1.1 2.1.2 2.2 2.2.1 If the pattern continues in the same way, write down the next TWO terms in the sequence. Calculate the sum of the first 50 terms of the sequence. Consider the sequence: 8; 18; 30; 44; ... Write down the next TWO terms of the sequence, if the pattern continues in the same way. Calculate the nth term of the 2.2.2 sequence. 2.2.3 Which term of the sequence is 330? QUESTION 3 Given the geometric series: 8x²+4x³ +2x++... 3.1 3.2 Determine the nth term of the series. For what value(s) of x will the series converge? 3 3.3 Calculate the sum of the series to infinity if x=. 2
Transcribed Image Text:QUESTION 2 2.1 Consider the sequence: 7:- ; 10; .... 2.1.1 2.1.2 2.2 2.2.1 If the pattern continues in the same way, write down the next TWO terms in the sequence. Calculate the sum of the first 50 terms of the sequence. Consider the sequence: 8; 18; 30; 44; ... Write down the next TWO terms of the sequence, if the pattern continues in the same way. Calculate the nth term of the 2.2.2 sequence. 2.2.3 Which term of the sequence is 330? QUESTION 3 Given the geometric series: 8x²+4x³ +2x++... 3.1 3.2 Determine the nth term of the series. For what value(s) of x will the series converge? 3 3.3 Calculate the sum of the series to infinity if x=. 2
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