The first three terms of a series are x 3, x + 1 and 3x

Question:

The first three terms of a series are x − 3, x + 1 and 3x − 5.

a) If the series is an arithmetic progression, find the first three terms.

b) i) If the series is a geometric progression,
find two possible values of x.

ii) Explain why there is no sum to
infinity for either of these values of x.

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