1. Find the sum to infinity of the GP: 7 + 2/7 + 4/343 + 8/16087+... . Find the least number of terms of the series that must be taken to give a sum which exceeds 99.99% of the sum to infinity. Write final answers in fraction (proper or improper) for the sum and whole number for n.
1. Find the sum to infinity of the GP: 7 + 2/7 + 4/343 + 8/16087+... . Find the least number of terms of the series that must be taken to give a sum which exceeds 99.99% of the sum to infinity. Write final answers in fraction (proper or improper) for the sum and whole number for n.
2.An arithmetic sequence has first term a and common difference d. It is given that the sum of the first four terms is more than the sum of the next four terms by 8. Also, the first term, third and sixth term of the sequence are three consecutive terms of a geometric progression. Find the exact values of a and d.
3. An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference.
4. The sum of the first 10 terms of a G.P. is equal to 244 times the sum of first 5 terms. Find common ratio.
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