Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:

Where, d is the common difference.
We have,

Here, d=9.
The first term of the AP is
.
The explicit formula for an AP is:

Substituting
and
, we get



Therefore, the required explicit formula for the given sequence is
.
Answer:
to serve hot chocolate to 14 people, you need:
7/6 cups boiling water
12.25 cups milk
2 5/8 teaspoons vanilla
7/4 half & half cream
To serve cookies to 14 people you need:
2.4 (rounded) cups flour
7/8 teaspoon baking soda
7/16 teaspoon baking powder
7/8 cup butter
21/16 cups white sugar
Step-by-step explanation:
The regular recipe for hot chocolate serves 4 people. But 14 are being served; 14 is 3.5 times as much as 4, so multiply the measurements by 3.5.
The recipe for cookies makes 16 servings of 3 cookies (4 dozen total), so you must use slightly smaller quantities. 14 is 7/8 as much as 16, so just multiply the measurements by 7/8.
Answer:
b)
Circumference Formula :


This is the ratio we can work out:






Step-by-step explanation:
the illustration is not with the question