+00 n (n-1)d. Let d e R. For the arithmetic series (n- 1) d, verify that sn = 2 n=1 Also, show that an arithmetic series is always divergent.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 34E: Prove the formula for the sum of the first n terms of an arithmetic series: a+a+d+a+2d+a+n-1d=na+an2...
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Let d e R. For the arithmetic series (n- 1) d, verify that sn =
2
п (п — 1)
n=1
Also, show that an arithmetic series is always divergent.
Transcribed Image Text:+oo Let d e R. For the arithmetic series (n- 1) d, verify that sn = 2 п (п — 1) n=1 Also, show that an arithmetic series is always divergent.
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