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FALSE: Write the word _1. If x = E=1 a" ; y = %3D y%3D Then x + y+z = } %3D

FALSE: Write the word _1. If x = E=1 a" ; y = %3D y%3D Then x + y+z = } %3D

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 81E
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II. TRUE or FALSE: Write the word TRUE if the statement is correct; otherwise, write FALSE. 1. If x = E=1 a" ; y = E=1 b; and z = %3D1 Then x+y+z = En=1(a" + b" + c"). 2. Doubling each term in an arithmetic series will double the sum. 3. In the geometric sequence where a, is negative and a, is negative, the common ratio is always positive. 4. A sequence is defined by un+1 = Un + 4 for n 2 1. Hence, E (un) # E (un) . 35 m%3D1 5. The first and 25th term of the sequence an = (-1)"-1(n – 1) are both positive. 5 6. The summation notation of the series 10 – 5 +2-+ is the summation of the geometric series =1(a1 · r"). Where a, = 10 and r = 7. The sequence described by the equation an = 2+3(n – 1) has its sum equal to E-1(3n – 1). n=D1 8. Every sequence is either defined by an explicit formula or a recursive formula but not both. 9. A triangular number 1, 3, 6, 10,... is a sequence which is described n(n+1) by Tn = 10. The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1+ Fn-2-
Transcribed Image Text:II. TRUE or FALSE: Write the word TRUE if the statement is correct; otherwise, write FALSE. 1. If x = E=1 a" ; y = E=1 b; and z = %3D1 Then x+y+z = En=1(a" + b" + c"). 2. Doubling each term in an arithmetic series will double the sum. 3. In the geometric sequence where a, is negative and a, is negative, the common ratio is always positive. 4. A sequence is defined by un+1 = Un + 4 for n 2 1. Hence, E (un) # E (un) . 35 m%3D1 5. The first and 25th term of the sequence an = (-1)"-1(n – 1) are both positive. 5 6. The summation notation of the series 10 – 5 +2-+ is the summation of the geometric series =1(a1 · r"). Where a, = 10 and r = 7. The sequence described by the equation an = 2+3(n – 1) has its sum equal to E-1(3n – 1). n=D1 8. Every sequence is either defined by an explicit formula or a recursive formula but not both. 9. A triangular number 1, 3, 6, 10,... is a sequence which is described n(n+1) by Tn = 10. The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1+ Fn-2-
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