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4 votes
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

User KevBry
by
5.3k points

1 Answer

3 votes

Answer:

  • 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

User Husam
by
5.1k points
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