If the diffrence in the side lenghts of two squares is 10,and the sum of the side lenghts is 18, what are the side lengths

The side of first square =14 units  

side of second square =4 units

Step-by-step explanation:

We have given two squares,

A square have all its four sides equal and at right angles.

Let the side of first square be 'a'

and the side of second square be 'b'

Given:

                      equation:1

                  equation:2

Solving equation:1  

                      a=10+b      equation:3

Putting 'a' in equation:2

Putting 'b' in  equation:3

So, the side of first square is 14 units and

side of second square is 4 units

, 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