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2 years ago

A recursive rule for an arithmetic sequence is a1 = -4; an = an - 1 + 11

Mathematics

1 answer:

STALIN [3.7K]2 years ago

7 0

Step-by-step explanation:

a1 is already defined : a1 = -4

since an = an-1 + 11, we know d (the constant being added from term to term) is 11.

d = 11

the basic iterative rule is also already defined :

an = an-1 + 11

but we can always also express this in terms of a1 :

an = a1 + 11×(n-1)

therefore,

a10 = -4 + 11×9 = -4 + 99 = 95

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Step-by-step explanation:

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3 years ago

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x2. What are the dimensions of su

Paul [167]

Answer:

Step-by-step explanation:

Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

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the parabola is open down with vertex at (0,2)

We can find that the rectangle also will be symmetrical about y axis.

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Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation

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3 years ago

In a triangle, two angles have measures of 45 degrees and 85 degrees. What is the measure of the third angle in this triangle?

Blizzard [7]

Answer:

50 degrees

Step-by-step explanation:

All three angles in a triangle add up to 180 degrees. If you know the measure of two angles, add them together and subtract the sum from 180.

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3 years ago