Given the sequence 3, 7, 11, 15, where x = 1, 2, what is the function rule? f(x) = 4
f(x)=4x+3
f(x)=3
f(x) = 4x − 1

f(x)=4x-1

Step-by-step explanation:

The given sequence is 3, 7, 11, 15, ........ where x = 1, 2.....

We want to write a function rule for this sequence.

The first term of this sequence is

The common difference of this sequence is d=7-3=4

The function rule is given by:

We substitute these values to get:

We simplify to get:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

the answer is c 150

step-by-step explanation: