Seven out of every 8 students surveyed owns a bike. the difference between the number of students who own a bike and those who do not is 72. how many students were surveyed?

68.7 out of 8 students were surveyed to have their owned bike. Now, let’s solve for the value of the number of students who owned a bike if the number of who does not owned is 72. => the ratio is 7 : 8 Now, the formula would be like this: => 7 : 8 = x : 72 => First multiply the outer value => 7 * 72 = 504 => Next, divide the product with the innerr value => 504 / 8 = 63 Thus, the value of the students who owned a bike is 63.

The answer would be a

, and

for

step-by-step explanation:

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

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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