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Which of the following is an arithmetic sequence with common difference –5?

8, 3, –2, –7, . . .

B)

0, 5, 10, 15, . . .

C)

5, 25, 125, 625, . . .

D)

5, –25, 125, –625, . . .

User SvKris
by
8.9k points

2 Answers

13 votes

Answer:

8, 3, –2, –7, . . .

Explanation:

User ShirazITCo
by
8.2k points
11 votes

Answer:

Option A i.e. 8, 3, -2, -7, ... is correct.

Explanation:

Let us check the sequence given in option A


8, 3, -2, -7, . . .

An arithmetic sequence has a constant difference '
d' and is defined by


a_n=a_1+\left(n-1\right)d

determine the differences of all the adjacent terms of Arithmetic sequence


3-8=-5,\:\quad \:-2-3=-5,\:\quad \:-7-\left(-2\right)=-5

The difference between all the adjacent terms is the same and equal to


d=-5

Therefore, we conclude that the arithmetic sequence 8, 3, -2, -7, ... has a common difference -5.

Hence, option A i.e. 8, 3, -2, -7, ... is correct.

User Amanuel Nega
by
8.3k points

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