In an AP, the pth term is q and the (p+q)th term is 0.Then , find the qth term.

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(a)

the income of a person is 300000, in the first year and he receives an case of 10000 his income per year for the next 19years .Find the total amount,he received in 20 years.

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(a)

The 6th and 17th terms of an AP are 19 and 41 respectively, find the 40th term.

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Write the first five terms of the sequence whose nth term is 2n² + 3.

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Divide 32 into four parts which are in AP. such that the product of extremes is to the product of means is 7:15.

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How many terms of the G.P. 1 + 4 + 16 + 64 + ... will make the sum 5441? 

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If the 4^th and 9^th terms of a G.P. be 54 and 13122 respectively, find the G.P.

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The sum of the series where n^th term 2n² + 3n² -1

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Sum the following series to n terms: 2 + 10 + 30 + 68 +

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Find the sum to infinity of the given G.P. 1,\(\frac { 2 }{ 3 } ,\frac { 4 }{ 9 } \)

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Find the sum to infinity of the G.P.\(\frac { -5 }{ 4 } ,\frac { 5 }{ 16 } ,\frac { -5 }{ 64 } \),...

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Find the sum to infinity of the G.P. \(\frac { -3 }{ 4 } ,\frac { 3 }{ 16 } \frac { -3 }{ 64 } ,....\)

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Find the sum to infinity \(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...\)

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Verify that 10, -9, 8. 1, ... \(\infty\) is a G.P. Find the sum to infinity.

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The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, find the G.P.

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(a)