sarah made 3 slow motion films of a honeybee beating its wings. In film 1, Sarah counted 24 beats over a period of 1/8 second. In film 2, Sarah counted 30 beats in 1/6 second. In film 3, counted 18 beats in 1/12 second. What was the average number of beats per second for the bee in the 3 films?

correct answer:

b.(19,-2)

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

mia khalifa

step-by-step explanation:

answer: 4  

the square root of 16 is 4. it is a very simple mathematic concept. a square root when a number multiplied by itself will result in a number. here, the number 16 comes when 4 is multiplied by 4. hence the square root of 16 is 4. you can always figure out a square root by the inverse operation of squaring.