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0.2. Show that, if c isa positive real number, then g(n) = 1 + c + c 2 + ......

ID: 3616464 • Letter: 0

Question

0.2. Show that, if c isa positive real number, then g(n) = 1 + c + c2+ ...... + cn is: (a) (1) if c <1. (b) (n) if c =1. (c)(cn) if c > 1. The moral: inbig- terms, the sum of a geometric series is simply thefirst term if the series is
strictly decreasing, the last term if the series is strictlyincreasing, or the number of terms if the
series is unchanging. 0.2. Show that, if c isa positive real number, then g(n) = 1 + c + c2+ ...... + cn is: (a) (1) if c <1. (b) (n) if c =1. (c)(cn) if c > 1. The moral: inbig- terms, the sum of a geometric series is simply thefirst term if the series is
strictly decreasing, the last term if the series is strictlyincreasing, or the number of terms if the
series is unchanging. The moral: inbig- terms, the sum of a geometric series is simply thefirst term if the series is
strictly decreasing, the last term if the series is strictlyincreasing, or the number of terms if the
series is unchanging.

Explanation / Answer

= Cn