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The sum of the first four terms of an AP is 56, and the sum of the first eight terms of the same AP is 176. Find the sum of the first 16 terms of the AP?

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Important Questions on Progressions

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X and Y are two numbers whose AM is 41 and GM is 9. Which of the following may be a value of X?
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Two numbers A and B are such that A>B, and their GM is 40% lower than their AM. Find the ratio between the numbers.
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A man saves  1000 in January 2015 and increases his savings by  500 every month over the previous month. What is the annual savings for the man in the year 2015?
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Find the 23rd term of the sequence: 1, 4, 5, 8, 9, 12, 13, 16, 17, ....
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If log a, log b, and log c are in AP, then the GM of a and c is _____.
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Each of the series 1+3+5+7+... and 4+7+10+13+... is continued up to 1000 terms. Find how many terms are identical between the two series.
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Find the sum of the series till the 23rd term for the series: 1, 4, 5, 8, 9, 12, 13, 16, 17, ....
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What is the maximum sum of the terms in the arithmetic progression 25, 24, 23, 22, ...?