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lions [1.4K]
2 years ago
5

3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18,

54, 162…
(a) What is the recursive rule for the sequence?
(b) What is the iterative rule for the sequence?
Mathematics
1 answer:
Alona [7]2 years ago
4 0

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

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You roll a number cube twice first roll is a four second roll I roll a even number is that a defendant or independent situation
Katyanochek1 [597]
Independent because the ratio of the second cube is the same (1:6), and it isn't affected by the result of the first cube
7 0
2 years ago
Plz helppp I don’t understand
Dmitrij [34]

Answer:

5+x=-4, =9

Step-by-step explanation:

5+x=-4 Write equation

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4 0
3 years ago
a beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your
erastova [34]

Answer:

A beach ball is a sphere, so we will need to know how to find the volume of a

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We have the diameter, but not the radius. To find the radius, it is half of the

diameter.

10÷2=5 Now let's plug it in.

4T(5³/3) Let's solve.

4pi = 12.56

5³= 125

125÷3= 41.67 (repeating 6) 41.67x12.56=523.3752

523.33 cubic inches is the volume of

air contained inside the beach ball. The reason I picked that answer is because a repeating 6. So we should expect for

we rounded up to 41.67, when there was

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5 0
2 years ago
Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).
Rom4ik [11]

Answer:

Range of \phi^{-1} is (−5,11).

Step-by-step explanation:

Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).

Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by\phi^{-1}

Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by \phi^{-1}

Hence, Range of \phi^{-1} is (−5,11)



3 0
3 years ago
Read 2 more answers
How many different 6- player starting squads can be formed from a volleyball team of 11 players?
aivan3 [116]
You have to calculate how many combinations of 6 people can be chosen from 11.   The formula for this is:
n! / [r! * (n-r)!]
combinations = 11! / [6! * 5!] =
11 * 10 * 9 * 8 * 7 /  5 * 4 * 3 * 2 *1 =
11 * 3 * 2 * 7 =
462 Combinations

Source:
http://www.1728.org/combinat.htm


7 0
2 years ago
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