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Divide 56 in four parts in A.P. such tha...

Divide 56 in four parts in A.P. such that the ratio of the product of their extremes (1st and 4th) to the product of means (2nd and 3rd) is 5:6.

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

Divide 56 into four parts which are in A.P. such that the ratio of product of extremes to the product of means is 5:6 .

Divide 28 into four parts in an A.P.so that the ratio of the product of first and third with the product of second and fourth is 8:15.

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

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

Divide 20 into four parts which are in A.P. and such that the product of the first and fourth is to the product of the second and third in the ratio 2:3 . Find the products of the first and fourth term of the A.P. :

Four parts of 24 are in A.P. such that the ratio of product of extremes to products of means is 7:15 , then four parts are

Find four consecutive terms in an A.P. Whose sum is 72 and the ratio of the product of the 1st and the 4th terms to the product of the 2nd and 3rd terms is 9 : 10. (a) Let the four consecutive terms be a - 3d, a - d, a + d, a + 3d. (b) Using the first condition, find the value of a. (c) Using the second condition, find the value of d and hence the numbers.

4.(a) Divide 20 into 4 parts which are in A.P. and such that.the product of the first and fourth is to the product o the secondi.and third in the ratio 2:3.

Divide 124 into four parts in such a way that they are in AP and the product of the first and the 4 th part is 128 less than the product of the 2nd and the 3 rd parts.

EDUCART PUBLICATION-ARITHMETIC PROGRESSIONS-SHORT ANSWER (SA - II) TYPE QUESTIONS
  1. How many numbers lie between 10 and 300, which divided by 4 leave a re...

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  2. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

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  3. Show that the sum of an A.P. whose first term is a, the second term is...

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  4. The first term of an AP is -5 and the last term is 45. If the sum of t...

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  5. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

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  6. If sum of first 6 terms of an AP is 36 and that of the first 16 terms ...

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  7. The sum of the first n terms of an AP whose first term is 8 and the co...

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  8. If the m^(t h) term of an A.P. is 1/n and the n^(t h) terms is 1/m , s...

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  9. find the sum of n terms of the series (4-1/n)+(4-2/n)+(4-3/n)+...........

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  10. For what value of n, the nth terms of the arithmetic progressions 63, ...

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  11. Find the sum of the first 40 positive integers divisible by 6.

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  12. Divide 56 in four parts in A.P. such that the ratio of the product of ...

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  13. If the sum of first 7 terms of an A.P. is 49 and that of its 17 terms ...

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  14. If the sum of first m terms of an A.P. is the same as the sum of its f...

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  15. How many terms of the A.P. 9, 17, 25, …..must be taken to give a sum o...

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  16. The houses of a row are numbered from 1 to 49. Show that there is a va...

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  17. The 14th term of an A.P. is twice its 8th term. If its 6th term is -8,...

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  18. The digits of a positive integer, having three digits, are in A.P. and...

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  19. Find the sum of first 24 terms of the list of numbers whose nth term ...

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  20. Determine the AP whose third term is 16 and the 7^(t h)term exceeds th...

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