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? A) 12 B) 2 C) -35 D) 35

Answer 1

`\Huge \boxed{a_4=2}`

Explanation:

The third term in an arithmetic sequence is 7.

The common difference is -5.

The common difference of an arithmetic sequence is found by subtracting a term in the sequence with the previous term.

`d=a_4-a_3`

Solving for the fourth term.

`a_4 = a_3 + d`

Plugging in the values and evaluating.

`a_4=7+-5`

`a_4=2`

The value of the fourth term is 2.

Answer 2

B) 2

Explanation:

a3 = 7 , d = -5 (GIVEN)

a4 = a3 + d

= 7 + (-5)

= 7 - 5

a4 = 2

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