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lions [1.4K]
3 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]3 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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What is the explicit rule for this sequence?<br> -5, 15, – 45, 135, ...
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Answer:

Step-by-step explanation:

In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the given sequence,

a1 = - 5

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Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1​
Sonbull [250]

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

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Now we can solve for x by plugging y into either equation

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8 0
2 years ago
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Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.
NISA [10]
The correct answer is the second choice.

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The second line should be:

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6 0
3 years ago
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Elis [28]

Answer:

The dimensions are 24 and 12 meters.

Step-by-step explanation:

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(L-12) + L + (L-12) + L = 72

4L - 24 = 72

4L = 72 + 24 = 96  ====>  L = 96%2F4 = 24.

8 0
3 years ago
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