PROGRESSION SERIES

G.P Series
  Enter the Number( i)
  Enter'N' Value of Number i
Enter Common Ratio (d)
Find 1st Number of G.P (a)
Enter N value of 'N'th Number
Find Nth Number
Find Sum
Find Geometric Mean
Find Arithmetic Mean
 
In Geometric Progression i.e G.P Series,l= nth term=a*dn-1
sum=(d*l-a)/d-1

 

Sum of N successive Integers
Lower Limit- a
Higher Limit- b
a < b
  Enter Lower Lt( a)
Enter Higher Lt (b)
Find Sum
Find SUM of squares
Find Square of SUM
Find Sum of cubes
 
For n Natural Numbers starting from 1
sum=n(n+1)/2
sum of square=n(n+1)(n+2)/6
sum of cubes=(1/4)*(n^2)*(n+1)^2

1+3+5+....+(2n-1)=n2

2+4+6+....+2n=n(n+1)

H.P Series(Harmonic Progression)

H.P Series
  Enter the Number( number)
  Enter no. of terms 'n' 
Enter Common Ratio (r)
Find sum
 

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A.P Series
  Enter the Number( i)
  Enter'N' Value of Number i
Enter Common Difference (d)
Find 1st Number of A.P (a)
Enter N value of 'N'th Number
Find Nth Number
Find Sum
Find Arithmetic Mean
 
In Arithmetic Progression i.e A.P Series, nth term=a+(n-1)d
sum=n/2[2a+(n-1)d]