a. The sum, S n , of the first n terms of an arithmetic progression is given

Question:

a. The sum, Sn, of the first n terms of an arithmetic progression is given by Sn = 11n − 4n2. Find the first term and the common difference.
b. The first term of a geometric progression is  and the fourth term is 1/12. 

Find:
i. The common ratio
ii. The sum to infinity.

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