Question

1 Which is an arithmetic sequence?

F)2, 5, 9, 14, ...
G)100, 50, 12.5, 1.6, ...
H)3, 10, 17, 24,...
j) -2,-1,-1/2,-1/4

Answer 1

• H) 3, 10, 17, 24, ...

Explanation:

An arithmetic sequence is when the difference of the terms is same

F)2, 5, 9, 14, ...

• 14 - 9 = 5,
• 9 - 5 = 4.
• 5-2 = 3

5 ≠ 4 ≠ 3, no

G)100, 50, 12.5, 1.6, ...

• 1.6 - 12.5 = -10.9
• 12.5 - 50 = -37.5
• 50 - 100 = -50

-10.9 ≠ -37.5 ≠ -50, no

H)3, 10, 17, 24,...

• 24-17 = 7
• 17 - 10 = 7
• 10 - 3 = 7

7 is the common difference, yes

j) -2,-1,-1/2,-1/4

• -1/4 - (-1/2) = 1/4
• -1/2 - (-1) = 1/2
• -1 - (-2) = 1

1/4 ≠ 1/2 ≠ 1, no