If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following.. A) the slope of the line AB

B) The length of the line AB

Step-by-step explanation:

Given :-

To Find :-

We can find the slope of the line passing through the points and as ,

Hence the slope of the line is 27/11 .

Finding the length of AB :-

Hence the length of AB is 29.15 units .

answer is 144

step-by-step explanation:

, 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