PLEASE HELP! Choose the best definition for the following term:

Explicit formula
Group of answer choices

a listing of terms such as 1, 5, 9, 13, 17 or 12, 7, 2, –3, –8, –13, –18 which has a constant difference between terms.

a listing of terms such as 3 + 7 + 11 + 15 + ··· + 99 or 10 + 20 + 30 + ··· + 1000 which has a constant difference between terms.

For a sequence a1, a2, a3, . . . , an, . . . a recursive formula is a formula that requires the computation of all previous terms in order to find the value of an .

A formula that allows direct computation of any term for a sequence a1, a2, a3, . . . , an, . . . .

Choose the best definition for the following term:

Logarithm
Group of answer choices

x in the expression ax

a in the expression ax

A function of the form y = a·bx where a > 0 and either 0 < b < 1 or b > 1

The logarithm base b of a number x is the power to which b must be raised in order to equal x

Choose the best definition for the following term:

Base
Group of answer choices

a in the expression ax

The logarithm base b of a number x is the power to which b must be raised in order to equal x

x in the expression ax

A function of the form y = a·bx where a > 0 and either 0 < b < 1 or b > 1

Choose the best definition for the following term:

Exponential decay
Group of answer choices

f(x) = loga(x) where a is any value greater than 0, except 1

The equation for the model is A = A0bt (where 0 < b < 1 ) or A = A0ekt (where k is a negative number representing the rate of decay).

A function of the form y = a·bx where a > 0 and either 0 < b < 1 or b > 1

a in the expression ax