Application & Problem Solving

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1.
If the sum of an infinite GP is 8 and the sum of the squares of its terms is 192/5, find r.
2.
Sum of n terms of series: 1*3 + 2*5 + 3*7 + ... is:
3.
If S_n = 3n^2 + 2n for an AP, the 10th term is:
4.
Three numbers in AP have sum 18 and sum of squares 126. The numbers are:
5.
If the 7th term of an AP is 32 and the 13th term is 62, the common difference is:

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