The number to which a base is raised to is called the this tells you how many times to multiply the base together.

The number to which a base is raised to is called the exponent. This tells you how many times to multiply the base together.

Let's look at an example.

Take a look at the image I provided.

The problem read here can be read as "5 to the 4th," or "5 to the 4th power." The larger 5 is called the base and the smaller 4 that is raised up is called the exponent. The exponent of 4 tells us that we multiply our base 4 times.

So we have 5 × 5 × 5 × 5 which is 625. The numbers that we multiply together are called factors so in this problem we have 4 factors of 5.

, 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

hope this !

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