Question

Which of the following equations could be used to solve for the tenth term of the following sequence? 15, 13, 11, 9, ... A(10) = 15 + 10(-2) A(10) = 15 + 9(-2) A(10) = 15 + 9(2) A(10) = 15 + 10(2)

Answer 1

A(10) = 15 + 9(-2) would be the correct equation

Answer 2

Answer with Step-by-step explanation:

The nth term A(n) of the arithmetic progression is calculated by:

A(n)=A(1)+(n-1)d

where d is the common difference

d=A(n)-A(n-1)

Here, we are given an arithmetic progression:

15,13,11,9,...

d=A(2)-A(1)

=13-15

= -2

A(10)=A(1)+(10-1)(-2)

= 15+9(-2)

Hence, equations which could be used to solve for the tenth term of the sequence 15, 13, 11, 9, ... is:

A(10) = 15 + 9(-2)