Determine if the type of sequence of the following terms. 2, 5, 10, 17, 26, 37,
...
O Arithmetic
O Polynomial
O Neither
O Geometric
Question

B: polynomial

Step-by-step explanation:

The sequence given is;

2, 5, 10, 17, 26, 37,...

From this sequence, the first difference between consecutive terms is respectively;

3, 5, 7, 9, 11...

We can see that the differences gotten are not constant.

Now, let's find the second difference between the consecutive first differences respectively;

2, 2, 2, 2...

This second difference is constant and thus we can say that the terms form a quadratic sequence of the form;

f(x) = an² + bx + c

Where the quadratic coefficient is two times the second difference.

Thus;

2a = 2

a = 1

And where c is the 0th term.

Thus, this is a quadratic sequence. Since quadratic functions are 2nd degree polynomials, then this is said to be a polynomial sequence.

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

(2,9)

i think thats the answer i checked it on google