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Number theory formulas

Posted Date: 31 Jul 2008 Resource Type: Articles/Knowledge Sharing Category: Education

Posted By: senthilkumar Member Level: Bronze
Rating:

Points: 3

1+2+3+........n = (n(n+1))/2.

1^2+2^2+3^2+......n^2 = (n(n+1)(2n+1))/6.

1+3+5+........n =((n+1)/2)^2

1^3+2^3+3^3+.....n^3 =(n(n+1)/2)^2.

1+3+5+......nterms =n^2.

GENRAL FORM OF ARITHEMATIC PROGRESS: tn=a+(n-1)d
a = first term
d = commen difference
d = term2-term

GENRAL FORM OF GEMONETREY PROGRESS: tn=ar^n
r=ratio
r=t2/t1

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