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inysia [295]
2 years ago
8

What is the common difference for the sequence shown below?

Mathematics
2 answers:
Alex Ar [27]2 years ago
4 0
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
jeka57 [31]2 years ago
3 0

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}

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