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Yuliya22 [10]
3 years ago
15

Enter a recursive rule for the geometric sequence. 5, −10, 20, −40, ... a1= an=

Mathematics
1 answer:
In-s [12.5K]3 years ago
8 0

9514 1404 393

Answer:

  • a[1] = 5
  • a[n] = -2a[n-1]

Step-by-step explanation:

The first term is the first one on the list:

  a[1] = 5

__

The ratio of terms is ...

  -10/5 = -2

That is, each term is -2 times the previous one, so the recursive rule is ...

  a[n] = -2·a[n-1]

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A rocking horse has a weight limit of 60pounds. What percentage of the weight limit is 33 pounds? What percentage of the weight
bixtya [17]

Answer:

The percentage is <u>55%</u> when weight limit is 33 pounds.

The percentage is <u>190%</u> when weight limit is 114 pounds.

The 95% of the limit weighs <u>57</u> pounds.

Step-by-step explanation:

Given:

Weight limit of rocking horse = 60 pounds.

We need to find:

a) What percentage of the weight limit is 33 pounds.

b)What percentage of the weight limit is 114 pounds.

c) What weight is 95% of the limit.

Now Solving for a we get;

Weight limit = 33 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = \frac{33}{60}\times100 = 55\%

Hence The percentage is <u>55%</u> when weight limit is 33 pounds.

Now Solving for b we get;

Weight limit = 114 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = \frac{114}{60}\times100 = 190\%

Hence The percentage is <u>190%</u> when weight limit is 114 pounds.

Now Solving for c we get;

Percentage Weight = 95%

Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;

framing in equation form we get;

percentage of the weight limit = \frac{95}{100}\times60 = 57 \pounds

Hence The 95% of the limit weighs <u>57</u> pounds.

4 0
4 years ago
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