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Four different integers form an increasi...

Four different integers form an increasing A.P. One of these numbers is equal to the sum of the squares of the other three numbers. Then
The sum of all the four numbers is -

A

1

B

3

C

2

D

`-2`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Four different integers form an increasing A.P. One of these numbers is equal to the sum of the squares of the other three numbers. Then The product of all numbers is -

    A
    3
    B
    0
    C
    4
    D
    2

  • Four different integers form an increasing A.P. One of these numbers is equal to the sum of the squares of the other three numbers. Then The common difference of the four numbers is -

    A
    9
    B
    8
    C
    12
    D
    6

  • The sum of the squares of first n natural numbers is -

    A
    `n^(2)`
    B
    `(n(n+1))/(2)`
    C
    `(1)/(6)n(n+1)(2n+1)`
    D
    `[(n(n+1))/(2)]^(2)`

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    The standard deviation of 32 numbers is 5. If the sum of the numbers is 80, determine the sum of the squares of the numbers.

    The sum of three numbers in A.P is 12 and sum of their cubes is 288. Find the numbers.

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