Hays builds model sailboats as a hobby. the dimensions of the sailboats are given. what is the height, x, of the smaller sailboat's sail? enter your answer, as a decimal, in the box. x = in. two sailboats with sails that are right triangles. the top angle on the sails are marked congruent to each other. the smaller sail has a height of x and a base of 7 inches. the larger sail has a height of 12 inches and a base of 8 inches.

30 people weigh 160 pounds or more

, 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