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Find the next four terms in the arithmetic sequence.
a - 6, a - 2, a + 2, ...


a.
a + 6, a + 12, a + 15, a + 18

b.
a + 4, a + 10, a + 12, a + 14

c.
a + 6, a + 10, a + 14, a + 18

d.
a + 4, a + 6, a + 8, a + 10


Please select the best answer from the choices provided

a) A
b) B
c) C
d) D

Respuesta :

C because they are just adding 4 each time.

Answer:

C: a+6, a+10, a+14, a+18

Step-by-step explanation:

a - 6, a - 2, a + 2, ...

Given is arithmetic sequence

General form of arithmetic sequence is

a , a+d, a+2d , a+3d , a+4d..............

To get next terms we need to find out 'd'

common difference is 'd'

to find 'd' we subtract first term from second term

a -2  - (a-6)= a-2 -a +6 = +4

d= 4

So we add 4 to get next four terms

a+ 2 is the last term

a+2 +4 = a+6

a+6 + 4= a+10

a+ 10 + 4= a+14

a+14 + 4= a+18

so next four terms are

a+6, a+10, a+14, a+18