Question

If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?3523512

Answer 1

2

Step-by-step explanation:

Given the following:

• Third term, f(3) = 7

,

• Common difference, d = -5

The common difference is the difference between a previous term and the next term in an arithmetic sequence.

Therefore:

`\begin{gathered} f(4)-f(3)=d \\ f(4)-7=-5 \\ f(4)=-5+7 \\ f(4)=2 \end{gathered}`

Therefore, the fourth term of the arithmetic sequence is 2.

Note:

f(n)=nth term, n can be any number

f(3)=3rd term

f(4)=4th term