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, . . .

Question

asked Nov 5, 2022 226k views

2 Answers

Amanuel Nega · Answer 1 · 2022-11-11T07:23:14+0000

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 '
' 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.