Which of the following are arithmetic sequences? Check all that apply. A. 1, 1, 2, 5, 8, 13 B. 5, 5, 5, 5, 5 C. 3, 6, 9, 12, 15 D. 2, 4, 8, 16, 32

hEorpaigh3tR

hEorpaigh3tR

Answered question

2022-11-23

Which of the following are arithmetic sequences? Check all that apply.
A. 1, 1, 2, 5, 8, 13
B. 5, 5, 5, 5, 5
C. 3, 6, 9, 12, 15
D. 2, 4, 8, 16, 32

Answer & Explanation

Ashley Dennis

Ashley Dennis

Beginner2022-11-24Added 4 answers

The correct option is B) 5, 5, 5, 5, 5 and C) 3, 6, 9, 12, 15 are arithmetic sequences
Check part B) 5, 5, 5, 5, 5
In which a 1 = 5 , a 2 = 5 , a 3 = 5 , a 4 = 5
common difference d = a n + 1 a n
d = a 2 a 1 = 5 5 = 0 d = a 3 a 2 = 5 5 = 0
common difference
since common difference is same
so, sequence 5, 5, 5, 5, 5 is arithmetic sequences.

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