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mash [69]
3 years ago
5

What are the first 3 terms in. t(n)=-2n+7

Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer:

The first 3 terms of the sequence t(n)=-2n+7 are:

5, 3, 1

Step-by-step explanation:

Given the sequence

t(n)=-2n+7

Here n represents any term number in the sequence

Determining the first term

substitute n = 1 in the sequence to determine the first term

t(n)=-2n+7

t(1)=-2(1)+7

t(1)=-2+7

t(1) = 5

Determining the 2nd term

substitute n = 2 in the sequence to determine the 2nd term

t(n)=-2n+7

t(2) = -2(2) + 7

t(2) = -4 + 7

t(2) = 3

Determining the 3rd term

substitute n = 3 in the sequence to determine the 3rd term

t(n)=-2n+7

t(3) = -2(3) + 7

t(3) = -6 + 7

t(3) = 1

Therefore, the first 3 terms of the sequence t(n)=-2n+7 are:

5, 3, 1

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Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

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Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

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Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

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Also, substituting (3,7) in x, we get,

3

3

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Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

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Answer:

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Step-by-step explanation:

Given:

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Computation:

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R = 50 ft

A = πR² = π•(50 ft)² = π • 50 ft • 50 ft = 2500π ft² ≈ 7854 ft²

{Of course you can re-calculate the units, ex.:

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