Question

Find the next four terms in the arithmetic sequence.

a - 6, a - 2, a + 2,   ...

a.

a + 6, a + 12, a + 15, a + 18

c.

a + 6, a + 10, a + 14, a + 18

b.

a + 4, a + 10, a + 12, a + 14

d.

a + 4, a + 6, a + 8, a + 10

 


Please select the best answer from the choices provided

A

B

C

D

can anyone explain this.

I can't find the final answer

pls help ​

Answer 1

c

Explanation:

Since the sequence is arithmetic then there is a common difference d between consecutive terms.

d =
`a_(2)` -
`a_(1)`

= a - 2 - (a - 6) = a - 2 - a + 6 = 4

Hence the next 4 terms are

a + 2 + 4 = a + 6

a + 6 + 4 = a + 10

a + 10 + 4 = a + 14

a + 14 + 4 = a + 18

That is

a + 6, a+ 10, a + 14, a + 18 → c