And air plane took off and reached an altitude of 10,000 feet in 25 minutes how many feet per minute on average did the airplane climb?

400 feet per minute

Step-by-step explanation:

Take the total number of feet (10,000) and divide by how many minutes it took to reach that altitude.

, 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

sounds & other waves originate from any vibrating object