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

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The common difference of an arithmetic progression in which a_(15)-a_(6)=-(27)/(2) is (where a_(n), is the nth term of the given AP)

Solve the following questions. (i) Check whether the sequence -3, -1,1,3 ,…. Is an A.P. If it is an A.P., find the common difference. (ii) If the 7th term of an A.P. is 40, then find S_(13) .

Find the common difference of the A.P whose first term is 12 and fifth term is 0.

Find the common difference of the A.P., if a=100and t_(20)=176 .

If p^("th"), 2p^("th") and 4p^("th") terms of an arithmetic progression are in geometric progression, then the common ratio of the geometric progression is

AGRAWAL PUBLICATION-ARITHMETIC PROGRESSIONS-EXAMPLE
  1. If in an A.P, a=15, d=-3 and an = 0, then find the value of n.

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  2. Find the number of terms in the A.P: 18, 15 1/2,13,…., -47.

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

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  4. Justify whether it is true to say that -1, -3/2, -2, 5/2, …..from an A...

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  5. How many 2-digit numbers are divisuble by 3?

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  6. In an AP, if the common difference (d) = -4, and the seventh term (a7)...

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  7. Write the n^(th) term of the A.P. 1/m ,(1+m)/m, (1+2m)/m.

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  8. If the n^(th) term of the A.P. -1,4,9,14, … is 129, find the value of ...

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  9. Find the 9th term from the end (towards the first term) of the A.P. 5,...

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  10. For the AP: -3,-7,-11, ……, can we directly find a(30) - a(20) without ...

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  11. If the first three terms of an A.P are b, c abd 2b, then find the rati...

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  12. What is the common difference of an A,P in which a(21) - a7 =84?

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  13. For what value of k will k+9, 2k -1 and 2k+7 are the consecutive terms...

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  14. Find the 16^(th)term of the AP,2,7,12,17,……

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  15. Find the mean of first eleven natural numbers.

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  16. Show that (a+b)^2, (a^2 + b^2) and (a+b)^2 are in AP.

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  17. If the 17^(th) term of an A.P exceeds its 10^(th) term by 7, Find the ...

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  18. Hoe many multiples of 4 die between 10 and 205?

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  19. Determine the A.P. whose third term is 16 and 7^(th) term exceeds the ...

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  20. Two AP's have the same common difference.The first term of one AP is 2...

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