Determine if the function defines an inner product for polynomials p(x) = a0 + a1x anxn and q(x) = b0 + b1x bnxn. (select all that apply.) p, q = a0b0 + a1b1 + + anbn in pn satisfies p, q = q, p does not satisfy p, q = q, p satisfies p, q + w = p, q + p, w does not satisfy p, q + w = p, q + p, w satisfies c p, q = cp, q does not satisfy c p, q = cp, q satisfies p, p ? 0, and p, p = 0 if and only if p = 0 does not satisfy p, p ? 0, and p, p = 0 if and only if p = 0

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

6e14 is the answer.

if you're trying to figure out how much each ounce cost it would be 0.20

cents each ounce