Complete the function table below for the function F(x) = x2 + 1.

x 1 2 3 4
F(x) 2
The numbers in the second row of the completed table make an arithmetic sequence.

A. True
B. False

Question

Complete the function table below for the function F(x) = x2 + 1.

x	1	2	3	4
F(x)	2	 	 	 
The numbers in the second row of the completed table make an arithmetic sequence.

 		A.	True
 		B.	False

solomonzelman · Answer

well a difference can also be zero. (If the rest of F(x) 's are 2s)

solomonzelman · Answer

In fact, it is the case of an arithmetic sequence (x is the number of the term, and f(x) is the term itself)

difference= 0
common ratio = 1

solomonzelman · Answer

I mean a case of arith. and geom. sequence at once.

anonymous · Answer

so it would be true?

solomonzelman · Answer

yes

aum · Answer

x      1   2   3    4
F(x)   2  5  10  17

The differences in the second row (that is, F(x)) are:  3, 5, 7.
The differences are not constant and therefore it is does NOT form an arithmetic sequence,
So it is False.