Question

Which of the following sequences of numbers are arithmetic sequences? Check all that apply.

A.0, 2, 4, 0, 2, 4, ?
B.128, 64, 32, 16, 8, 4, 2, ?
C.12, 6, 0, -6, -12, -18, ?
D.3, 7, 11, 15, 19, 23, ?
E.0.005, 0.05, 0.5, 5, 50, 500, ?.

Answer 1

arithmetic sequence means the difference from one number will be the same.
so looking at
A, we have 0, 2, 4, 0, 2, 4 the difference is 2 from one to the next number, but then it goes from 4 to 0. so this is not aritemetic.
B, 128 to 64 is a change of 64. then 64 to 32 is a change of 32. 64 and 32 are not the same value, so this is not arithmetic.
C, 12 to 6 is a change of -6, 6 to 0 is a change of -6 again. looking at all the numbers, they all change by -6. so this Is an arithmetic sequence.
D, ?
E, ?
can you finish it out?

Answer 2

I tried to but nothing was the same? I've never learned this stuff before it was just a random question on an Algebra II test.

Answer 3

do you understand how I did part c?