Question

Chinedu sat down to do his homework, which included 30 math problems. He solved 2 problems each minute. Let f(n) be the number of problems left for Chinedu to solve at the beginning of the nth minute.
f is a sequence. What kind of sequence is it?
IS IT GEOMETRIC OR ARITHMETIC AND TELL ME THE EXPLICIT FORMULA

Answer 1

Answer:

It would be an arithmetic sequence.

Step-by-step explanation:

This is because during each minute, he does another 2 problems. Or, in other words +2 each minute.

This is the result of the sequence during each minute:

(Problems Left): 30, 28, 26, 24, 22... 0

Time (Minutes) --->

If it was instead a geometric equation, it would go by a multiple, such as the number 2. Or, ×2 each minute.

During the first minute, he learns 2 problems. But then as each minutes passes it turns into 4, then 8, and etc..

This is the result of the pretend sequence during each minute:       (Problems Left): 30, 28, 24, 16, 0

Time (Minutes) --->

The formula would be for this equation would follow

an = a1 + (n-1)d

an is your result.

a1 is the first number you plug in

(n-1) is just there, don't mind it (aka: the term position).

and d is the rate.

So just plug them in from your equation, and you would get this:

an = 30(n-1)2