Substitute values for n=3,7, and 10 to find the terms.
-1,7,13
Practice makes perfect
We are given an explicit rule of a sequence and are asked to find the third, seventh, and tenth terms.
A(n)=-5+(n-1)(2)
To do so, we will construct a table.
n
A(n)=-5+(n-1)(2)
A(n)
3
A( 3)=-5+( 3-1)(2)
-1
7
A( 7)=-5+( 7-1)(2)
7
10
A( 10)=-5+( 10-1)(2)
13
The third, seventh and tenth terms of this explicit sequence are -1, 7, and 13.