Asquare board has an area of 100 square feet. what is the length of one side of the board? a) 100 ft b) 50ft c) 25 ft d) 10 ft

D) 10 ft

Step-by-step explanation:

If the board is square , we know that the formula for area is

A = s^2

The area is 100 ft^2

100 = s^2

Take the square root of each side

sqrt(100) = sqrt(s^2)

10 = s

The length of one side is 10 ft

, 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

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step-by-step explanation: