Afrog is climbing out of a well that is 11 feet deep. the frog can climb 3 feet per hour but then it rests for an hour, during which it slips back 1 foot. how long will it take for the frog to get out of the well?

It takes the frog 7 hours to get out of the well.

Step-by-step explanation:

We know that the well is 11 feet deep and the frog can climb 3 feet per hour.

Each time it climbs, it rests for an hour, and decreases its height by 1 foot.

So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.

Lets calculate with the same pattern:

1st hour: 3 feet

2nd hour: feet

3rd hour: feet

4th hour: feet

5th hour: feet

6th hour: feet

5th hour: feet

6th hour: feet

7th hour:   feet

Therefore, it takes the frog 7 hours to get out of the well.

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation:

, 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