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Define an arithmetic progression....

Define an arithmetic progression.

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The altitudes of a triangle are in arithmetic progression, then the sides of a triangle are in

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Knowledge Check

  • If a, b and c are three positive numbers in an arithmetic progression, then:

    A
    `acgtb^(2)`
    B
    `b^(2)gta+c`
    C
    `ab+bcle2ac`
    D
    `ab+bcge2ac`
  • If a,b and c are three positive numbers in an arithmetic progression, then :

    A
    `ac gt b^(2)`
    B
    `b^(2) gt a+c`
    C
    `ab+bc le2ac`
    D
    `ab+bcge2ac`
  • If a, b and c are positive numbers in arithmetic progression and a^(2), b^(2) and c^(2) are in geometric progression, then a^(3), b^(3) and c^(3) are in (A) arithmetic progression. (B) geometric progression. (C) harmonic progression.

    A
    (A) and (B) only
    B
    only (C )
    C
    (A), (B) and (C )
    D
    only (B)
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    If 9 times the 9^(th) term in an arithmetic progression is equal to 15 times the 15^(th) term in arithmetic progression , what is the 24^(th) term ?

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    The sum of 'n' terms of a progression is (n^(2)+5n). Prove that it is arithmetic progression. Also find its common difference.

    What is Arithmetic progressions?

    If p^("th"), 2p^("th") and 4p^("th") terms of an arithmetic progression are in geometric progression, then the common ratio of the geometric progression is