Michael has 5 more comic books than double David's collection. If together they have a total of 128 comics, use the equation from the previous question to find how many comics they each have.

Michael has 87 comic books while David has 41 comic books.

Step-by-step explanation:

Let x represent the number comic books that Michael has.

Let y represent the number of comic books that David has.

Michael has 5 more comic books than double David's collection. The expression would be

x = 2y + 5

If together they have a total of 128 comics, it means that

x + y = 128- - - - - - - - - -1

Substituting x = 2y + 5 into equation 1, it becomes

2y + 5 + y = 128

3y + 5 = 128

3y = 128 - 5

3y = 123

y = 123/3

y = 41

Substituting y = 41 into x = 2y + 5, it becomes

x = 2 × 41 + 5

x = 87

, 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