Three more than the product of 4 and c is 7.

c=1

Step-by-step explanation:

Let me simplify this for you by writing it in numerical form.

4 x c+3=7

Move all terms not containing c to the right side of the equation.

Subtract 3 from both sides of the equation.

4c=7–3

Subtract 3 from 7.

4c=4

Divide each term by 4 and simplify.

c=1

, 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