Jeff made 2 baskets in his first basketball game and 1 more basket in his next game. Assuming he scores 1 more basket each game, write a recursive formula to generate the sequence representing the total number of baskets Jeff made after each game.
(1 point)
0 f (1) = 2 f(n) = f (n -1) + 1
0 f(1) = 2 f(n) = f(n - 1) - 1
0 f(1) = 1
f(n) = f(n. - 1) - 1
0 f(1) = 1
fn) =f(n - 1)+1
The correct recursive formula to generate the sequence representing the total number of baskets Jeff made after each game is:
f(1) = 2
f(n) = f(n - 1) + 1
Juan is saving money each week. At the end of the first week, he saves $10. At the end of the second week, he has a total of $25. He continues saving $15 each week. Which of the following is correct way of mathematically describing the sequence?
(1 point)
O f (n) = 10 + 15
O f (1) = 10 f (n) = f (n - 1) + 10
O f (1) = 10 f (n) = f (n - 1) + 15
O f (n) = 10 + 10n.
The correct way of mathematically describing the sequence is:
f(1) = 10
f(n) = f(n - 1) + 15
Write a recursive formula for the sequence {10, 12, 14, 16. ) (1 point)
0 f (1) = 10 / (n) = f (n. - 1) + 2
O f(1) = 2 f (n) = f (n - 1) - 10
Of (1) = 10 f (n) = f (n - 1) -2
0 f(1) = 2 f (n) = f (n - 1) + 10
The correct recursive formula for the sequence {10, 12, 14, 16} is:
f(1) = 10
f(n) = f(n - 1) + 2
Jose cooked two batches of cookies yesterday and three more batches of cookies today. Assuming he makes three batches of
cookies each day, write an explicit expression to generate the sequence representing the total number of batches Jose has
made after each day. (1 point)
O f(n) =3+2(n-1)
O f (n) = 2+3 (n - 1)
Of(n) =3-2(z -1)
O f (n) = 2 - 3 (n -
The correct explicit expression to generate the sequence representing the total number of batches Jose has made after each day is:
f(n) = 2 + 3(n - 1)
Given the function with / (3) = 127 and / (1) = 95, determine the rate of change over the interval 1 < £ < 3 (1 point)
1/16
16
32
1/32
To determine the rate of change over the interval 1 < £ < 3, we need to find the difference in the function values at £ = 3 and £ = 1, and then divide it by the difference in the values of £.
The rate of change is given by:
(127 - 95) / (3 - 1) = 32 / 2 = 16
Therefore, the rate of change over the interval 1 < £ < 3 is 16.
The correct recursive formula to generate the sequence representing the total number of baskets Jeff made after each game is f(1) = 2 and f(n) = f(n-1) + 1.
To understand this recursive formula, let's break it down:
- f(1) = 2 represents the initial number of baskets Jeff made in his first game. This is given in the question.
- f(n) = f(n-1) + 1 represents the number of baskets Jeff made in the subsequent games. It states that the number of baskets made in the current game (f(n)) is equal to the number of baskets made in the previous game (f(n-1)) plus 1. This means that he scores 1 more basket in each successive game.
By using this formula, you can calculate the number of baskets Jeff made after each game by plugging in the respective game number into the formula.
For example:
f(2) = f(1) + 1 = 2 + 1 = 3
f(3) = f(2) + 1 = 3 + 1 = 4
f(4) = f(3) + 1 = 4 + 1 = 5
And so on.