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3 years ago

What is the next fraction in this sequence? Simplify your answer.

1 answer:

4 0

If you make all fractions with a common denominator your sequence is
9/20
8/20 (2/5 times 4/4)
7/20
6/20 (3/10 times 2/2j
So...you next fraction must be ...
5/20 or 1/4

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In a certain sequence of all positive terms, {a1, a2, a3, …} each term equals the previous term times a constant factor. If (a1)

andriy [413]

Let $k$ be the constant factor between terms, so that

$a_2=ka_1$

$a_3=ka_2=k^2a_1$

and so on, with

$a_n=ka_{n-1}=\cdots=k^{n-1}a_1$

(notice how the exponent and the subscript add to $n$ )

Then

$a_5=k^4a_1$

so if

$a_1a_5=900$

then

$k^4{a_1}^2=900\implies k^4=\dfrac{900}{{a_1}^2}=\left(\dfrac{30}{a_1}\right)^2\implies k^2=\dfrac{30}{a_1}$

Now,

$a_3=k^2a_1=\dfrac{30a_1}{a_1}=30$

so the third term in the sequence is 30.

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3 years ago

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djyliett [7]

Answer:

Angle 5 I think

Step-by-step explanation:

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The coefficiant in the expression is the "c" next to the 2

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The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator trave

nadya68 [22]

Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
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Answer:

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