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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

User Tristian
by
3.1k points

1 Answer

4 votes

Answer:

x^2 +4

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

User Deep Frozen
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