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# Important Formulae: Progressions CAT Notes | EduRev

## Quant : Important Formulae: Progressions CAT Notes | EduRev

The document Important Formulae: Progressions CAT Notes | EduRev is a part of the Quant Course Quantitative Aptitude (Quant).
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Arithmetic Progression

an = a1 + (n - 1)d EduRev's Tip:

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

⇒ 13 + 23 + 33 ... + n3 = • 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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## Quantitative Aptitude (Quant)

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