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Neko [114]
3 years ago
6

Please help! I am supposed to write a recursive and an explicit function for the geometric sequence but this one is really frust

rating me. Thank you!

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Step-by-step explanation:

Initially, there's only 1 letter.

Tania sends the letter to 4 friends.

Each friend sends a letter to 4 more friends (4 × 4 = 16).

Each of those friends sends to 4 more friends (16 × 4 = 64).

The pattern is 1, 4, 16, 64, etc.

This is a geometric sequence.  The first term is 1 and each term is 4 times the previous term.

a₁ = 1

aₙ = 4 aₙ₋₁

The explicit formula is:

aₙ = 1 (4)ⁿ⁻¹

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At a party of 102 people,17 lb of potato salad is served. a. Write and solve an equation to find how many people each pound of p
Novay_Z [31]

Each pound of potato salad serves 6 people and the average number of pounds of potato salad that each person is served will be \frac{1}{6} pound.

<u><em>Explanation</em></u>

At a party of 102 people, 17 pounds of potato salad is served.

<u>a.</u>  Suppose, each pound of potato salad is served to x number of people.

So, 17 pounds of salad is served to (17*x) or 17x number of people. That means......

17x= 102\\ \\ x= \frac{102}{17}=6

So, each pound of potato salad is served to 6 people.


<u>b.</u>  Suppose, the average number of pounds of potato salad that each person is served is  y

So, the total number of pounds of salad, served to 102 people = (y*102) pounds =102y pounds. That means .....

102y= 17\\ \\ y= \frac{17}{102}= \frac{1}{6}

So, the average number of pounds of potato salad that each person is served will be  \frac{1}{6} pound.

3 0
3 years ago
(5+2g)exp5 for g=-2<br> help pls
Sidana [21]

The value of the expression when g = -2 is -1

<h3>How to simplify the expression</h3>

Given the expression;

(5+2g)exp5

(5+2g)^5

For g = -2

Let's substitute the value of g in the expression

= ( 5 + 2 ( -2) ) ^5

Expand the bracket

= ( 5 - 4) ^ 5

Find the difference

= (-1) ^5

= -1

Thus, the value of the expression when g = -2 is -1

Learn more about algebraic expressions here:

brainly.com/question/4344214

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1 year ago
What is the place value of the 5 in the number 1.458?
mixas84 [53]

Answer:

Step-by-step explanation:

1.458

The 5 is in the hundredths place

6 0
3 years ago
How to solve -d/6+12=-7
Delicious77 [7]
IF you are solving for d:

isolate the D, do the opposite of PEMDAS.

-d/6 + 12 = -7

(subtract 12 from both sides)

-d/6 + 12 (-12) = -7 (-12)

-d/6 = -19

(multiply 6 to both sides)

-d/6(6) = -19(6)

-d = -19(6)

-d = -144

-d/-1 = -144/-1

d = 144

hope this helps
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2 years ago
What is 45/1000 reduced?
Anna35 [415]
9/200. divide 45 and 1000 both by 5 to reduce it.
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2 years ago
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