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bogdanovich [222]
3 years ago
12

An outside thermometer reads -5 degrees at 8:00 a.m. By 12:30 p.m. the temperature outside has increased by 11 degrees. At 12:30

p.m. the temperature inside Susan's house is is 7 degrees more than 11 times the outside temperature. What was the temperature inside the house then.
Mathematics
1 answer:
Lesechka [4]3 years ago
7 0

Answer:

73 degrees.

Step-by-step explanation:

So, let's see the information provided in the question.

At 8 AM, the thermometer was reading -5 degrees.

At 12:30 PM, the temperature has increased by 11 degrees, so it's now +6 degrees outside.

Inside Susan's house, the temperature is 7 degrees more than 11 times the outside temperature, at 12:30 PM.

So, we know the outside temperature at 12:30 PM is +6 degrees.

11 times 6 = 66 degrees.

Then we add the additional 7 degrees, to get a total of 73 degrees.

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This question is incomplete, here is the complete question

What is the recursive formula for this geometric sequence 2, -10, 50, -250, .... ?

The recursive formula for this geometric sequence is:

a_{1} = 2; a_{n} = (-5) • a_{n-1}

Step-by-step explanation:

To find the recursive formula for a geometric sequence:

  1. Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
  2. Find the common ratio. (The number you multiply or divide.)
  3. Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.

The recursive formula is:

a_{1} = first term;  a_{n} = r • a_{n-1}  , where

  • a_{1} is the first term in the sequence
  • a_{n-1} is the term before the nth term  
  • r is the common ratio

∵ The geometric sequence is 2 , -10 , 50 , -250

∴ a_{1} = 2

- To find r divide the 2nd term by the first term

∵ r=\frac{a_{2}}{a_{1}}

∴ r=\frac{-10}{2}=-5

- Substitute the values of a_{1} and r in the formula above

∴  a_{1} = 2; a_{n} = (-5) • a_{n-1}

The recursive formula for this geometric sequence is:

a_{1} = 2; a_{n} = (-5) • a_{n-1}

Learn more:

You can learn more about the geometric sequence in brainly.com/question/1522572

#LearnwithBrainly

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