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Showing posts with the label Arithmetic Progression (Class 10)

The sum of first n terms of an A.P is 3n+n^2 then (i) Find first term and sum of first two terms (ii) Find second, third and 15th term.

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Find the sum of first 11 positive numbers which are multiple of 6.

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Find t11 for the given A.P. 4,9,14,.....

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Find tn and examine whether the sequence is A.P or not.

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For a sequence, Sn = n(3n+2), find tn. Examine whether the sequence is A.P or G.P.

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If m times the mth term of an A.P. is equal to n times its nth term then show that (m+n)th term of the A.P is zero.

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Find the sum of all terms given in a sequence, 1, 2+x, 3+x^2, 4+x^2,..........n+x^(n-1).

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If 'A' and 'G' are the A.M and G.M between two numbers then, prove that the numbers are, A+- Sqrt[ (A+G)(A-G) ].

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If the 9th term of an A.P. is zero then prove that the 29th term is double the 19th term.

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How many terms of the A.P. 16, 14, 12,.... are needed to give the sum 60? Explain why we get double answer.

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How many two digit numbers leave the remainder 1 when divided by 5?

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If the sum of p terms of an A.P. is equal to the sum of q terms then show that the sum of its p+q terms is zero.

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A.P. : How many trees are planted.

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In the A.P. 7, 14, 21....... How many terms have to be considered for getting sum 5740.

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Second and fourth term of an A.P is 12 and 20 respectively. Find the sum of first 25 terms of that A.P.

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For an A.P. first and last term is 13 and 216 respectively. Common difference is 7. How many terms are there in that A.P. Find the sum of all terms.

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For an A.P. given below find 20th term and Sum of first 20 terms. 1/6, 1/4, 1/3,.....

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Find first negative term from the following A.P. 122, 116, 110,......

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