Arithmetic Progressions (10)

The nth term and sum of the first n terms of AP.

Find the sum of first 25 terms of the A.P.

Find the sum of first 25 terms of the A.P. whose nth term is given by an = 5 + 6n. Also, find the ratio of 20th term to 45th term. 

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In an A.P, if $ S_{n} = 3n^2 + 5n $ and $ a_k = 164 $

In an A.P, if $ S_{n} = 3n^2  + 5n $ and $ a_k = 164 $, find the value of k

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The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms

The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms

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Find the sum of first 8 multiples of 3

Find the sum of first 8 multiples of 3.

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In an AP, if the common difference (d) = -4, and the seventh term

In an AP, if the common difference (d) = -4, and the seventh term (a7) is 4, then find the first term.

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If the ratio of the sum of the first n terms of two A.Ps is (7n + 1) : (4n + 27)

If the ratio of the sum of the first n terms of two A.Ps is (7n + 1) : (4n + 27), then find the ratio of their 9th terms.

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The first term of an A.P. is 5, the last term is 45 and the sum of all its terms is 400

The first term of an A.P. is 5, the last term is 45 and the sum of all its terms is 400. Find the number of terms and the common difference of

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Which term of the progression $20, 19 \frac{1}{4},18\frac{1}{2} ,17\frac{3}{4}$... is the first negative term

Which term of the progression $20, 19 \frac{1}{4},18\frac{1}{2} ,17\frac{3}{4}$... is the first negative term?

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What is the common difference of an A.P

What is the common difference of an A.P. in which a21 - a7 = 84 ?

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How many terms of the Arithmetic Progression 45, 39, 33, ... must be taken so that their sum is 180

How many terms of the Arithmetic Progression 45, 39, 33,... must be taken so that their sum is 180? Explain the double answer.

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Which term of the Arithmetic Progression -7, -12, -17, -22, ... will be -82 ?

Which term of the Arithmetic Progression -7, -12, -17, -22,... will be -82 ? Is -100 any term of the A.P. ? Give reason for your answer.

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$ \frac{1}{a},\frac{3 - a}{3a},\frac{3 - 2a}{3a} ... (a \ne 0)$

$ \frac{1}{a},\frac{3 - a}{3a},\frac{3 - 2a}{3a}... (a \ne 0)$

Find the common difference of the Arithmetic Progression (A.P.) 

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