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An aritmetic progression consists of thr...

An aritmetic progression consists of three terms whose sum is 15 and sum of the squares of extremes is 58. Find the terms of progression.

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In a Geometric progression the sum of first three terms is 14 and the sum of next three terms of it is 112. Find the Geometric progression.

Find the two positive numbers whose sum is 15 and sum of whose squares minimum.

Knowledge Check

  • In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals :

    A
    `(1)/(2) sqrt( 5)`
    B
    `sqrt( 5)`
    C
    `(1)/( 2) ( sqrt( 5) - 1)`
    D
    `( 1)/( 2) ( 1-sqrt( 5))`

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    Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.

    Find two positive number whose sum is 15 and the sum of whose squares is minium.

    Find two positive number whose sum is 15 and the sum of whose squares is minimum.

    The sum of the fourth and eighth terms of an arithmetic progression is 24 and the sum of the sixth and tenth terms is 44. Find the first three terms of the Arithmetic progression.

    In an arithmetic progression of 50 terms, the sum of first ten terms is 210 and the sum of last fifteen terms is 2565. Find the arithmetic progression.

    In an arithmetic progression of 50 terms, the sum of first ten terms is 210 and the sum of last fifteen terms is 2565. Find the arithmetic progression.

    The sum o the fourth and eighth terms of arithmetic progression is 24 and the sum of the sixth and tenth terms is 44. Find the first three terms of the Arithmetic progression:

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