Answer:
Step-by-step explanation:
Recursive Sequence
We are given the following sequence:
-1, 1, 5, 13...
It's required to find the recursive term for the sequence.
A recursive formula calculates each term as a function of one or more previous terms.
To find the recursive formula, we must find a pattern and transform it into a math expression.
Let's write the sequence, and below it, the difference of consecutive terms:
-1, 1, 5, 13...
+2, +4, +8
Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.
The exponent is one less than the number of the term, thus:
Thus:
Testing:
n=1
(given).
n=2
n=3
n=4
PEMDAS (order of operations rules) require that we perform operations in a certain order: anything inside parentheses first, followed by any exponentiation, followed by mult. and div., finally followed by addition and subtraction.
Thus, we must evaluate 5+8÷4-1 first, as it's inside parentheses. Focusing on the division first, we get 5+8÷4-1 = 5 + 2 - 1, or 6.
Then we have 5 - [6], which comes out to -1.
2 it’s literally just where the line crosses on the y axis
The 32,500 is the original cost of the truck and the (0.92) You take v(x)=32,500(0.92)
and raise that to the 2nd power, to represent the 2nd year and you will get an answer of $27,300.
Each year the truck is losing $2,600 in value, after two years the truck has lost $5,200 in value equalling
= $27,300