What's the tenth term of a sequence with an explicit rule of ƒ (n) = 2 + (-3) (n - 1) ?

Question 2 options:

A)

ƒ (10) = - 25

B)

ƒ (10) = 27

C)

ƒ (10) = - 30

D)

ƒ (10) = 32

F (10) = - 25

Step-by-step explanation:

To solve an explicit rule, we have to understand every terms in its formula. For a given equation,

F (n) = F (1) + d (n - 1)

Where F (n) = the nth term of the sequence

F (1) = first term

d = common difference

(n - 1) = one term less than the nth term

Note : the above explicit sequence is for arithmetic function.

From the above equation,

F (n) = F (10)

F (1) = 2

d = - 3

(n - 1) = (n - 1)

To solve for the 10th term

F (10) = 2 + (-3) (10 - 1)

F (10) = 2 + (-3) (9)

F (10) = 2 + (-27)

F (10) = - 25

The 10th term of the sequence is - 25