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Alisiya [41]
2 years ago
5

B. Mason put sticky notes on some pages of his math book. The page numbers for this sequence 3, 5, 8, 13, 21,34, ... Describe th

e rule for the sequence. I Find the next two terms of the sequence. Show your work.​
Mathematics
2 answers:
katrin [286]2 years ago
6 0

Answer:

The next two terms are 55 and 89

Step-by-step explanation:

This is an example of the Fibonacci Sequence: The sum of the previous two numbers equals the next number.

You can see that :

  • 3 + 5 = 8
  • 5 + 8 = 13
  • 8 + 13 = 21
  • 13 + 21 = 24

Rule: the sum of the previous two numbers, equals the next number.

Solve:

  • 3, 5, 8, 13, 21, 34, (21 + 34), (34 + 21 + 34)
  • 3, 5, 8, 13, 21, 34, 55, 89

The next two terms are 55 and 89

-Chetan K

Mademuasel [1]2 years ago
6 0

Step-by-step explanation:

the next 2 term is 55 and 89

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rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t
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the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

y=h+ut+\frac{1}{2}at^2

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

a=g=-9.8 m/s^2 is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

11=23+27t-4.9t^2\\4.9t^2-27t-12=0

This is a second-order equation, which has solutions:

t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}

So

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The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

brainly.com/question/1748290

brainly.com/question/11042118

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#LearnwithBrainly

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