SPS SPS FM 2022 October — Question 3

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionOctober
TopicGeometric Sequences and Series

3. The first term of a geometric series is 120 . The sum to infinity of the series is 480 .
a) Show that the common ratio, \(r\), is \(\frac { 3 } { 4 }\) The sum of the first n terms of the series is greater than 300 .
b) Calculate the smallest possible value of n
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