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Find the sum of all integers between 100 and 550, which are divisible by 9.
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Find the sum of the series:
3 + 5 + 7 + 6 + 9 + 12 + 9 + 13 + 17 + ... to 3n terms.
Concept: undefined >> undefined
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Find the sum of all those integers between 100 and 800 each of which on division by 16 leaves the remainder 7.
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Solve:
25 + 22 + 19 + 16 + ... + x = 115
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Solve:
1 + 4 + 7 + 10 + ... + x = 590.
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Find the r th term of an A.P., the sum of whose first n terms is 3n2 + 2n.
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How many terms are there in the A.P. whose first and fifth terms are −14 and 2 respectively and the sum of the terms is 40?
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The sum of first 7 terms of an A.P. is 10 and that of next 7 terms is 17. Find the progression.
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The third term of an A.P. is 7 and the seventh term exceeds three times the third term by 2. Find the first term, the common difference and the sum of first 20 terms.
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The first term of an A.P. is 2 and the last term is 50. The sum of all these terms is 442. Find the common difference.
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The number of terms of an A.P. is even; the sum of odd terms is 24, of the even terms is 30, and the last term exceeds the first by \[10 \frac{1}{2}\] , find the number of terms and the series.
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If Sn = n2 p and Sm = m2 p, m ≠ n, in an A.P., prove that Sp = p3.
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If 12th term of an A.P. is −13 and the sum of the first four terms is 24, what is the sum of first 10 terms?
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If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what is the sum of first 20 terms?
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Find the sum of n terms of the A.P. whose kth terms is 5k + 1.
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Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
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If the sum of a certain number of terms of the AP 25, 22, 19, ... is 116. Find the last term.
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Find the sum of odd integers from 1 to 2001.
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How many terms of the A.P. −6, \[- \frac{11}{2}\], −5, ... are needed to give the sum −25?
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In an A.P. the first term is 2 and the sum of the first five terms is one fourth of the next five terms. Show that 20th term is −112.
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