2. Arithmetic progression
An arithmetic progression (AP) or arithmetic sequence
is a sequence of numbers such that the difference
between the consecutive terms is constant.
Example: 2,4,6,8,10…..
Arithmetic Series : The sum of the numbers in a finite
arithmetic progression is called as Arithmetic series.
Example: 2+4+6+8+10…..
3. nth term in the finite arithmetic
series
Arithmetic Series : a1+a2+a3+…..an
Then nth term an=a1-(n-1)d
Where
a1- First number of the series
an- Nth Term of the series
n- Total number of terms in the series
d- Difference between two successive numbers
4. Sum of the total numbers of the
arithmetic series
Sn=n/2*(2a1+(n-1)*d)
Where
Sn – Sum of the total numbers of the series
a1- First number of the series
n- Total number of terms in the series
d- Difference between two successive numbers
5. Example
Find n and sum of the numbers in the following series 3
+ 6 + 9 + 12 + x?
Here a1=3, d=6-3=3, n=5
x= a1+(n-1)d = 3+(5-1)3 = 15
Sn=n/2*(2a1+(n-1)*d)
Sn=5/2*(2*3+(5-1)3)=5/2*18 = 45
Basic math's concepts which are very helpful in solving
algebra 1 homework problems
