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13 a Show that the sum S, of the first n terms of 7 + 14 + 28 + · . · is S, b For what value of n is S, equal to 1785? c Show that T, = 7 × 2"-1, and find how many terms are less than 70000. d Use trial-and-error to find the first sum S, that is greater than 70000. e Prove that the sum S, of the first n terms is always 7 less than the (n + 1)th term. 7(2" - 1).

13 a Show that the sum S, of the first n terms of 7 + 14 + 28 + · . · is S, b For what value of n is S, equal to 1785? c Show that T, = 7 × 2"-1, and find how many terms are less than 70000. d Use trial-and-error to find the first sum S, that is greater than 70000. e Prove that the sum S, of the first n terms is always 7 less than the (n + 1)th term. 7(2" - 1).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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13 e, thank you.

13 a Show that the sum S, of the first n terms of 7 + 14 + 28 + · . · is S, b For what value of n is S, equal to 1785? c Show that T, = 7 × 2"-1, and find how many terms are less than 70000. d Use trial-and-error to find the first sum S, that is greater than 70000. e Prove that the sum S, of the first n terms is always 7 less than the (n + 1)th term. 7(2" - 1).
Transcribed Image Text:13 a Show that the sum S, of the first n terms of 7 + 14 + 28 + · . · is S, b For what value of n is S, equal to 1785? c Show that T, = 7 × 2"-1, and find how many terms are less than 70000. d Use trial-and-error to find the first sum S, that is greater than 70000. e Prove that the sum S, of the first n terms is always 7 less than the (n + 1)th term. 7(2" - 1).
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