Question

What is the common difference for the sequence shown below?

Answer 1

It is B because for every point going down, there is 3 to the left and so it is 1/3 and it has to be negative because its going left

Answer 2

Answer:

Option 2nd is correct

$-\frac{1}{3}$

Step-by-step explanation:

The nth term for the arithmetic sequence is given by:

$a_n = a+(n-1)d$

where,

$a_1$ is the first term

d is the common difference

n is the number of terms.

As per the statement:

From the given graph:

At n =1

$a_1 =4$

At n =4

$a_4=3$

Using the nth term formula  for the arithmetic sequence:

$a_4 = a_1+3d$

Substitute the given values we have;

$3 = 4+3d$

Subtract 4 from both sides we have;

$-1 = 3d$

Divide both sides by 3 we have;

$-\frac{1}{3} =d$

or

$d =-\frac{1}{3}$

Therefore, the common difference for the given sequence as shown is, $-\frac{1}{3}$