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Vlada [557]
3 years ago
6

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

3, –2, –7, –12, ...

Step-by-step explanation:

f(n+1) = f(n) − 5

This means each term is 5 less than the term before it.

The only option that works is the third one.

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Subtract 7 from -2 and 7 since 7 is currently a positive number

Your equation should now look like this:

-3x=-9

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X=3



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the blueprint for a house has a scale of 1 cm = 3 ft. what would be the actual length of a wall that was 5 cm on the blueprint?
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8 0
2 years ago
What is the solution to the system of equations y=-1/3x+9 and y=2/3x+12
amm1812

Answer:

{x = -3 , y = 10

Step-by-step explanation:

Solve the following system:

{y = 9 - x/3 | (equation 1)

{y = (2 x)/3 + 12 | (equation 2)

Express the system in standard form:

{x/3 + y = 9 | (equation 1)

{-(2 x)/3 + y = 12 | (equation 2)

Swap equation 1 with equation 2:

{-(2 x)/3 + y = 12 | (equation 1)

{x/3 + y = 9 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{-(2 x)/3 + y = 12 | (equation 1)

{0 x+(3 y)/2 = 15 | (equation 2)

Multiply equation 1 by 3:

{-(2 x) + 3 y = 36 | (equation 1)

{0 x+(3 y)/2 = 15 | (equation 2)

Multiply equation 2 by 2/3:

{-(2 x) + 3 y = 36 | (equation 1)

{0 x+y = 10 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{-(2 x)+0 y = 6 | (equation 1)

{0 x+y = 10 | (equation 2)

Divide equation 1 by -2:

{x+0 y = -3 | (equation 1)

{0 x+y = 10 | (equation 2)

Collect results:

Answer:  {x = -3 , y = 10

3 0
3 years ago
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