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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

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 class=

Respuesta :

Answer:

Option (B)

Step-by-step 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,

[tex]T_n=a+(n-1)d[/tex]

    [tex]=26+(n-1)(-4)[/tex]

    = 26 - 4n + 4

    = 30 - 4n

    = -4n + 30

Therefore, nth term of the given arithmetic sequence is,

[tex]T_n=[/tex] -4n + 30

Option (B) will be the answer.

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