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victus00 [196]
3 years ago
8

Drag the tiles to the correct boxes to complete the pairs. Not all tiles are used.

Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

a) aₙ = 4.(2)^n-1

b) aₙ = 2+3(n-1)

c) aₙ = 3+4(n-1)

d) aₙ = 3.(4)^n-1

Step-by-step explanation:

a) a geometric sequence with first term of 4 and a common ratio of 2

aₙ = ar^n-1

where a is the first term and r is the common ratio

aₙ = 4.(2)^n-1

Comparing with the standard form:

1st term = 4

Common ratio = 2

b) an arithmetic sequence with a first term of 2 and a common difference of 3

The standard form of arithmetic sequence is:

aₙ = a₁ + d(n-1)

where a₁ is the first term and d is the common difference

Given: aₙ = 2+3(n-1)

Comparing with standard equation

First term = 2

Common difference = 3

c) an arithmetic sequence with a first term of 3 and a common difference of 4

The standard form of arithmetic sequence is:

aₙ = a₁ + d(n-1)

where a₁ is the first term and d is the common difference

Given: aₙ = 3+4(n-1)

Comparing with standard equation

First term = 2

Common difference = 3

d) a geometric sequence with first term of 3 and a common ratio of 4

aₙ = ar^n-1

where a is the first term and r is the common ratio

aₙ = 3.(4)^n-1

Comparing with the standard form:

1st term = 3

Common ratio = 4

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A ball is projected in to the air. Its height at time t is given by the equation
Ksju [112]
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16 t^{2} -60t+7=0

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t= \frac{-bplus minus \sqrt{ b^{2}-4ac } }{2a}
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It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.


3 0
3 years ago
What is a possible value of sin(theta) when cos2(theta)=0.73?
Sindrei [870]
We use the following trigonometric identity to answer the question:
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 a possible value of sin ^ 2 (theta) is:
 
c.0.26 (nearest option)
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