Two large numbers of the Fibonacci sequence are F49=7,778,742,049 and f50=12,586,269,025. What is the approximate value of the quotient f50/f49?

Option A

Step-by-step explanation:

Consider the Fibonacci series:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

Ignore the first 3 terms ( keys)

f(5)/f(4) = 5/3 = ~1.67

f(6)/f(5) = 8/5 = 1.60

f(7)/(f6) = 13/8 = ~1.63

f(8)/f(7) = 21/13 = ~1.61

f(9)/f(8) = 34/21 = ~1.62

f(10)/f(9) = 55/34 = ~1.62

...

=> Option A is the solution

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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