Which of the following is tge first four terms of the sequence a n=3n+5?

c

to generate the first four terms, substitute n = 1, 2, 3, 4 into the formula

= (3 × 1) + 5 = 3 + 5 = 8

= (3 × 2 ) + 5 = 6 + 5 = 11

= (3 × 3) + 5 = 9 + 5 = 14

= (3 × 4) + 5 = 12 + 5 = 17

the first four terms are 8, 11, 14, 17 → c

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: