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Geometric series: For the given geometric series (1) Find the first term a and the ratio r and write the series in the form Σark k-0 (2) Determine whether the series converges? (3) If the series converges, find its sum. 2401 64 343 16 + 49-7+4-...

Geometric series: For the given geometric series (1) Find the first term a and the ratio r and write the series in the form Σark k-0 (2) Determine whether the series converges? (3) If the series converges, find its sum. 2401 64 343 16 + 49-7+4-...

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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Geometric series: For the given geometric series (1) Find the first term a and the ratio r and write the series in the form (2) Determine whether the series converges? (3) If the series converges, find its sum. Select one: O a. O b. ark Oc (1) a = 2401 64 (1) a= 2401 64 1= (2) Diverges because I) - <1 (3) No sum 1 (1) a= 2401 64 r = -2 (2) Converges because (x) = < 1 (3) Sum is 16 807 640 r = -4 (2) Converges because I = < 1 (3) Sum is 16 807 2401 - 343 +49 64 16 Σ2401(-)* 64 Σ 21 (-4)* Σ 2001 (-4)* -7+ 4-...
Transcribed Image Text:Geometric series: For the given geometric series (1) Find the first term a and the ratio r and write the series in the form (2) Determine whether the series converges? (3) If the series converges, find its sum. Select one: O a. O b. ark Oc (1) a = 2401 64 (1) a= 2401 64 1= (2) Diverges because I) - <1 (3) No sum 1 (1) a= 2401 64 r = -2 (2) Converges because (x) = < 1 (3) Sum is 16 807 640 r = -4 (2) Converges because I = < 1 (3) Sum is 16 807 2401 - 343 +49 64 16 Σ2401(-)* 64 Σ 21 (-4)* Σ 2001 (-4)* -7+ 4-...
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