Exercise 64 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)=12+(n-1)(3)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)=12+(n-1)(3)

Substitute

n= 2

A( 2)=12+( 2-1)(3)

SubTerm

Subtract term

A(2)=12+(1)(3)

IdPropMult

Identity Property of Multiplication

A(2)=12+3

AddTerms

Add terms

A(2)=15

We have found that the second term is 15. Now, let's construct a table and do the same thing for the fourth and tenth terms.

n^(th) Term	12+(n-1)(3)	A(n)
2	12+( 2-1)(3)	15
4	12+( 4-1)(3)	21
10	12+( 10-1)(3)	39

The second, fourth, and tenth terms are 15, 21, and 39.