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Sindrei [870]
3 years ago
12

There are 80 houses on Main Street. 1/4 are one story houses. 9/12 are two story houses. How many houses on Main Street are one

story houses and how many are two story house?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

there are 20 one story houses and 60 two story houses.

Step-by-step explanation:


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Answer:

<u>Checkmark:</u>

✓ The sequence is geometric

✓ The recursive formula for the sequence is An = A_{n-1}(-3); A_{1} =-2

✓ The explicit formula for the sequence is t_{n} = (-2) (-3)^{n-1}

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.

r = -3

t_{n} = t_{1} r^{n-1}

t_{1} = -2

Substitute the values in the equation:

t_{n} = (-2) (-3)^{n-1}

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)

The recursive formula would be:

An = A_{n-1}(-3)

Checkmark:

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✓ The explicit formula for the sequence is t_{n} = (-2) (-3)^{n-1}

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Step-by-step explanation:

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Step-by-step explanation:

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