02. Which sequence has a common difference of 3?С. f (n) %3D 3 + (п — 1)В. ап 3 ап-1* (3)E. not given-:D. f(n + 1) = f (n) * 3

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Description: 02. Which sequence has a common difference of 3?С. f (n) %3D 3 + (п — 1)В. ап 3 ап-1* (3)E. not given-:D. f(n + 1) = f (n) * 3

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College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.2: Arithmetic Sequences And Partial Sums

Problem 2ECP: Find a formula for the nth term of the arithmetic sequence whose common difference is 5 and whose...

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02. Which sequence has a common difference of 3?
С. f (n) %3D 3 + (п — 1)
В. ап 3 ап-1* (3)
E. not given
-:
D. f(n + 1) = f (n) * 3

Expert Solution

Step 1

we have to find which sequence has a common difference of 3.

$A) f (n) = 4 + 3 (n - 1) f (n) = 4 + 3 n - 3 = 3 n + 1 p u t n = 0, f (0) = 3 (0) + 1 = 1 p u t n = 1, f (1) = 3 (1) + 1 = 4 p u t n = 2, f (2) = 3 (2) + 1 = 6 + 1 = 7 . . s o o n . t h e s e q u e n c e i s \{1, 4, 7, . . . . . . .\} t h e c o m m o n d i f f e r e n c e i s 4 - 1 = 3, 7 - 4 = 3 . . . . . s o o n t h i s s e q u e n c e h a s a c o m m o n d i f f e r e n c e i s 3 .$

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