clearly written sentence why this sequence is a geometric sequence. b) Labeling 1/9 as the first term in the sequence, write an expression for the nth term in the sequence. c) Use sigma notation to express the sum of the first n terms of this sequence. d) Find a “closed” formula for this sum. e) What does this sum approach as n gets larger and larger? Explain!
clearly written sentence why this sequence is a geometric sequence. b) Labeling 1/9 as the first term in the sequence, write an expression for the nth term in the sequence. c) Use sigma notation to express the sum of the first n terms of this sequence. d) Find a “closed” formula for this sum. e) What does this sum approach as n gets larger and larger? Explain!
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.CT: Test
Problem 1CT
Related questions
Question
a) Explain in a clearly written sentence why this sequence is a geometric
sequence.
b) Labeling 1/9 as the first term in the sequence, write an expression
for the nth term in the sequence.
c) Use sigma notation to express the sum of the first n terms of this
sequence.
d) Find a “closed” formula for this sum.
e) What does this sum approach as n gets larger and larger? Explain!
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