Question

PC

Examine the sequence of numbers below.
26, 22, 18, 14, 10, 6
Which algebraic expression represents this sequence? (the nth value)
O A. -4n + 26
OB. -4n + 30
O C. 4n + 22
o D. 26n - 4

Answer 1

Option (B)

Explanation:

Given sequence of the numbers is 26, 22, 18, 14, 10, 6

Since difference in every successive term is,

d = 22 - 26 = -4

d = 18 - 22 = -4

Therefore, there is a common difference of (-4).

Hence the given sequence is an arithmetic sequence.

First term of the sequence is 'a' = 26

nth term of the given sequence will be,

`T_n=a+(n-1)d`

`=26+(n-1)(-4)`

= 26 - 4n + 4

= 30 - 4n

= -4n + 30

Therefore, nth term of the given arithmetic sequence is,

`T_n=` -4n + 30

Option (B) will be the answer.