Important Formulae: Progressions CAT Notes | EduRev

Quantitative Aptitude (Quant)

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Arithmetic Progression

an = a1 + (n - 1)d
Important Formulae: Progressions CAT Notes | EduRev
EduRev's Tip:

  • Number of terms = Important Formulae: Progressions CAT Notes | EduRev
    Geometric Progression
    an = arn - 1
    Important Formulae: Progressions CAT Notes | EduRev
    Sum till infinite terms = Important Formulae: Progressions CAT Notes | EduRev (Valid only when r<1)
    Sum of first n natural numbers
    ⇒ 1 + 2 + 3 … + n = Important Formulae: Progressions CAT Notes | EduRev
    Sum of squares of first n natural numbers
    ⇒ 12 + 22 + 32 + … + n2 = Important Formulae: Progressions CAT Notes | EduRev
    Sum of cubes of first n natural numbers 

    ⇒ 13 + 23 + 33 ... + n3 = Important Formulae: Progressions CAT Notes | EduRev

  • Sum of first n odd numbers
    ⇒ 1 + 3 + 5 … + (2n - 1) = n2

  • Sum of first n even numbers
    ⇒ 2 + 4 + 6 ... 2n = n(n - 1)

  • If you have to consider 3 terms in an AP, consider {a-d,a,a+d}. If you have to consider 4 terms, consider {a-3d,a-d,a+d,a+3d}

  • If all terms of an AP are multiplied with k or divided with k, the resultant series will also be an AP with the common difference dk or d/k respectively.


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