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 select the best answer from the choices provided a) a b) b c) c d) d

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

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right

answer: $53750

steps:

list the principal and interest after the n-th year:

n       principal   simple interest

1     12500     375

2     25000     750

3     37500     1125

4     50000     1500

sum: $50000     $3750

total at end of year 4: $53750