Algebra Examples

Identify the Sequence 3 , 4 , 5 , 6
3 , 4 , 5 , 6
Step 1
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 1 to the previous term in the sequence gives the next term. In other words, an=a1+d(n-1).
Arithmetic Sequence: d=1
Step 2
This is the formula of an arithmetic sequence.
an=a1+d(n-1)
Step 3
Substitute in the values of a1=3 and d=1.
an=3+1(n-1)
Step 4
Multiply n-1 by 1.
an=3+n-1
Step 5
Subtract 1 from 3.
an=n+2
 [x2  12  π  xdx ]