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1.4.9 Geometric sequences and series (A-level only)

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Question 9

A geometric series has a second term of 3 and its sum to infinity is 16.

a.

Determine the two possible values of rrr.

[3]
b.

Determine the corresponding two possible values of aaa.

[2]
c.

Given that r r\,r takes the larger of the two possible values, find the smallest value of n n\,n for which Sn>15.5S_n > 15.5Sn​>15.5.

[3]

1.4.9 Geometric sequences and series (A-level only) Questions

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