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The nth terms of an A.P.(1)/(m),(m+1)/(m...

The nth terms of an A.P.`(1)/(m),(m+1)/(m),(2m+1)/(m),...` is:

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The correct Answer is:
`(mn - m + 1)/(m)`
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The nth term of an A.P. is (1)/(n) and nth term is (1)/(m). Its (mn)th term is :

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If the m^(th) term of an A.P.is (1)/(n) and the n^(th) term is (1)/(m), show that the sum of mn terms is (1)/(2)(mn+1)

If the m^(th) term of an A.P.is (1)/(n) and the n^(th) terms is (1)/(m), show that the sum of mn terms is (1)/(2)(mm+1)

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If the sum of m terms of an A.P is equal to these that n terms and also to the sum of the next p terms,prove (m+n)((1)/(m)-(1)/(p))=(m+p)((1)/(m)-(1)/(n))

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EDUCART PUBLICATION-ARITHMETIC PROGRESSIONS-OBJECTIVE TYPE QUESTIONS (VERY SHORT QUESTIONS)
  1. How many two -digit numbers are divisible by 3?

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  2. In an A.P., if the common difference (d)=-4 and the seventh term (a7) ...

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  3. The nth terms of an A.P.(1)/(m),(m+1)/(m),(2m+1)/(m),... is:

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

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  5. Find the 9th term from the ctowards the first term of the A.P. 5,...

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

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

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  8. What is the common difference of an A.P. in which a(21) - a(7) = 82?

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

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

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  11. Find the mean of first eleven natural numbers.

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  12. Determine the 10 t h term from the end of the A.P. 4,\ 9,\ 14 ,\...

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  13. Find the sum of the first 100 natural numbers.

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  14. If the arithmetic mean of the first n natural numbers is 15 , then n i...

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  15. If in an AP a=15, d=-3 and an=0. Then find the value of n.

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  16. Find the number of terms in the following A.P. : 18, 15(1)/(2), 13 ....

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  17. Find the common difference of the Arithmetic Progression (A.P.) (1)/...

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  18. Justify whether it is true to say that -1, (-3)/(2), -2, (5)/(2), … ...

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  19. How many 2-digit numbers are divisible by 3?

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  20. In an A.P., if the common difference (d)=-4 and the seventh term (a7) ...

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