Thursday, March 28, 2013

IMPORTANT FORMULAE
CHAPTER II                     NUMBER THEORY
Sl.No
Arithmatic Progression
Geometric Progression

General Form.
1
a,a+d,a+2d,a+3d,…
Here
 a=t1 = First Term
 d=t2 - t1= Common Difference
a,ar,ar2,ar3,…
Here
 a=t1= First Term
  r= =common ratio

nth  term
2
tn = a + (n-1)d
tn=arn-1

Number of terms
3
__

Sum to  'n'  terms
4
sn = n/2 [2a+(n-1)]d

sn =n/2 [a+l]


sn = an

Sum to  ''  terms
5

S  = a/(1-r)

Three consecutive terms
6
a -d, a, a+d
a/r, a, ar