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The sum of four consecutive numbers in A...

The sum of four consecutive numbers in A.P. is 32 and the ratio of the product of the first and last term to the product of two middle terms is 7:15. Find the number

Text Solution

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The correct Answer is:
2,6,10,14
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The sum of four consecutive numbers in an A.P. is 52 and the ratio of the product of the first and the last term to the product of two middle terms is 11:20. Find the numbers.

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.

Knowledge Check

  • The sum of four consecutive terms in A.P. is 36 and the ratio of product of the first and fourth is to the product of the second and third is 9:10. Find the largest of the numbers:

    A
    9
    B
    10
    C
    8
    D
    12

  • The sum of four consecutive terms in A.P. in 36 and the ratio of product of the first and fourth is to be the product of the second and the third si 9:10 . Find the largest of the numbers :

    A
    9
    B
    10
    C
    8
    D
    12

  • If sum of four numbers in A.P. is 28 and product of two middle terms is 45, then product of the first and last terms is

    A
    11
    B
    13
    C
    15
    D
    17

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    The sum of three consecutive terms of an A.P. is 30 and their product is 360. Find the terms.

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    The sum of four numbers in A.P. is 4 and their product is 385. Find the numbers.

    The sum of three consecutive terms of an A.P. is 21 and the sum of the squares of these terms is 165.Then product of the three terms is

    What is the common difference of four terms in an A.P. such that the ratio of the product of the first and fourth terms to that of the second and third is 2:3 and the sum of all four terms is 20 ?

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