Question

What is the common difference of the following sequence? 27, 11, -5, -21, -37, . . .

Answer 1

Answer:

$d = a_{2} - a _{1}$

d is the common difference

a1 is the first term, a1 = 27

a2 is the second term, a2 = 11

substitute:

$d = 11 - 27 \\ { \boxed{ \boxed{d = - 16}}}$

Answer 2

Answer:

Find the common difference and the next term of the following sequence:

3, 11, 19, 27, 35...

Step 1. To find the common difference, subtract any consecutive pair of terms.

11 - 3 = 8

19 - 11 = 8

27 - 19 = 8

35 - 27 = 8

The difference is always 8, so d = 8.

Step 2. Use the common difference to find the next term.

Since the last term was 35, adding the common difference of 8 will find the next term. The next term is 35 + 8 or 43.

Step-by-step explanation:

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