a. The sixth term of an arithmetic progression is 35 and the sum of the first ten

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a. The sixth term of an arithmetic progression is 35 and the sum of the first ten terms is 335. Find the eighth term.

b. A geometric progression has first term 8 and common ratio r. A second geometric progression has first term 10 and common ratio ¼ r. The two progressions have the same sum to infinity S. Find the values of r and the value of S.

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