Question

Which of the following represents an arithmetic sequence?
A 5, -10, 20, -40

B 3, 1, 4, 2

C 2, 4, 8, 16

D 3, 5, 7, 9,

Answer 1

arithmetic sequences keep changing by the same amount... called the common difference.

normally found by checking the terms in the sequence.

\[T _{2} - T _{1} = T _{3} - T _{2} = T _{4} - T _{3}=....,.\]

Answer 2

sooo..

Answer 3

how do i apply tht to the question

Answer 4

so in A -10 - 5 = -15

20 - (-10) = 30

different values not arithmetic

B 1 -3= -2

4 - 1 = 3

not arithmetic

C 4 - 2 = 2
8 - 4 = 4
not arithmetic

D 5 -3 = 2
7 - 5 = 2
9 - 7 = 2

the common difference is 2... so the sequence is arithmetic

Answer 5

thank you! :)