Consider the sequence...

5, 8, 13, 20, 29, …

What is the expression that best represents the sequence?

3x2+4

x2+4x

x2+4

x2+5

  x^2 +4

Step-by-step explanation:

It is perhaps easiest to simply try the answers to see what works. x=1 corresponds to the first term, so the different answer choices will give that value as ...

  3x² +4 = 3 +4 = 7

  x² +4x = 1 + 4 = 5 . . . . possible solution

  x² +4 = 1 +4 = 5 . . . . possible solution

  x² +5 = 1 +5 = 6

Then for x=2, we want the result to be 8. The two choices we've identified so far give ...

  x² +4x = 2² +4·2 = 12

  x² +4 = 2² +4 = 8 . . . . . this is the solution

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or