Which function can be used to determine the nth term of the sequence?

Option (C)

Step-by-step explanation:

Recursive formula of  sequence is,

Therefore, sequence will be in the form of,

-7, -12, -17,......

Therefore, common difference of the given arithmetic sequence,

d =

  = -5

Explicit formula for an arithmetic sequence is,

f(n) = a + (n - 1)d

where a = first term of the sequence

n = nth term

d = common difference in each successive term

By substituting the values from the sequence,

f(n) = -7 + (n - 1)(-5)

     = - 7 - 5(n - 1)

     = -7 - 5n + 5

f(n) = -5n - 2

Option (C) will be the correct option.

7 yards

Step-by-step explanation:

the absolute value of -2 and 2/3- 51/3 is 7