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.

f

step-by-step explanation:

f

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk