3. If the common ratio of a geometric sequence a, b, C, ... is R, the common ratio of anothe-1geometric sequencea² 'b²'c²... ISa. Rb. R2С.d.-R24. What is the next term of the sequence 2, 4, 8, 16 isa. 20(b)32с. 64d. 1085. The pattern followed by the sequence 3,6, 9 12, ... isa.) Multiples of 3b. Prime numbersc. Odd numbersd. Multiples of 1/36. The general term of Geometric Progression isa.an = arn-1b. an = ar-1C. an = ar"%3Dd. an = arn+17. The 7th term of the Geometric Progression 2, 6, 18, ... isa. 5832b. 2919© 1458d. 729bns 1olo nnholoo alr8. The first term of a geometric sequence is 2, and the second term is 10, what is the fifth ta. 100b. 250c. 500d. 7509. If r = 10, an = 100, a = 1 then 'n' should be equal toa. 1b. 2C.)3d. 4

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Answered: 3. If the common ratio of a geometric…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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2. Write the first five terms of each sequence. Determine whether each sequence is arith geometric, or neither. Note: a(1) = 7 means that the first term of the sequence is 7. a. a(1) = 7,a(n) = a(n – 1) – 3 for n22. This sequence is The first five terms are 7, , and b. b(1) = 2,b(n) = 2-b(n - 1) – 1 for nz2. This sequence is The first five terms are and c. c(1) = 3,c(n) = 10-c(n – 1) for n22. This sequence is The first five terms are and d. d(1) = 1,d(n) = n· d(n – 1) for n22. This sequence is The first five terms are and 1 D00 F4 F5 F10 % & * 5 6 7 8 9
In geometric sequence a1, a2, • • • , an , 114688, then the if .. az = 1792 and a5 = common ratio is 7 9. 8 64 512
6. What is the common difference in the arithmetic sequence 8,5, 2, -1,-4, ..? A. -3 В. -1 С. 4 D. 8 brow edT now thw al 7. Find the formula for the sum of the first n terms of the geometric sequence 2,6,18, ... A. Sn = 4" -- 1 B. Sn = 3n - 1 C. Sn = 5" + 1 D. Sn == 7n - 1 omit 8. Find the first three terms of the sequence where the nth term is -10+7(n – 1). B. -14, -10, 4 A. -14, -10, -8 C. -10, -8, -2 D. -10, -3, 4 9. Find the 10th term of the arithmetic sequence with given a, =-5 and d = 3. А. 19 В. 22 С. 25 D. 31 10. If P1,000 is invested at 4% per annum compounded yearly, what is the value of the investment after 10 years? A. P 1480.24 B. P 2487.26 C. P 2890.24 D. P 3280.26
1. Consider the sequence a = {3, 15, 75, 375, 1875, ...} a. What is the common ratio? b. What the next five terms in the sequence? are 1. Consider the sequence b = {6,§, 25, 125 » 625 * ** a. What is the common ratio? b. What are the next five terms in the sequence?
Questions :1. Find the 17th term of sequence 3, 9, 27, 81, and so on. 2. Which of term of the sequence 7, 15, 23, is 255 ? 3. Find the 35th term of the Fibonacci sequence 1, 1, 2, 3,… 4. Find the sum of the sum sequence 4, 8, 12,… 120. 5. Find the sum of the number sequence 3, 6, 12, 24…until 12,288.
33. Geometric Sequences If a1, a2, a3, ... and b1, b2, b3, ... are geometric sequences, show that a,b1, azbz, azb3, ... is also a geometric sequence.

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