Exercise 62 Page 300

To find certain terms in a sequence described by an explicit rule, substitute the number of the desired term into the formula to get the term's value. The given explicit formula is as follows. A(n)=3+(n-1)(2)We can find the second, fourth, and tenth terms of the sequence by substituting 2, 4, and 10 into the formula for n.

A(n)=3+(n-1)(2)

Substitute

n= 2

A( 2)=3+( 2-1)(2)

SubTerm

Subtract term

A(2)=3+(1)(2)

IdPropMult

Identity Property of Multiplication

A(2)=3+2

AddTerms

Add terms

A(2)=5

We have found that the second term of the sequence is 5. Now, let's construct a table and do the same thing for the fourth and tenth terms.

n^(th) Term	3+(n-1)(2)	A(n)
2	3+( 2-1)(2)	5
4	3+( 4-1)(2)	9
10	3+( 10-1)(2)	21

The second, fourth, and tenth terms are 5, 9, and 21.