Answer:
21, 24, 29
Step-by-step explanation:
Replace n with 1, 2, and 3, and do the arithmetic.
first term = 1² +20 = 21
second term = 2² +20 = 24
third term = 3² +20 = 29
The first three terms are 21, 24, 29.
Answer:
Part 1) The width of the pad is ![1\ m](https://tex.z-dn.net/?f=1%5C%20m)
Part 2) The solutions are
and
Step-by-step explanation:
Part 1)
Let
x----> the width of the pad
we know that
![(15+2x)(18+2x)=340](https://tex.z-dn.net/?f=%2815%2B2x%29%2818%2B2x%29%3D340)
Solve for x
![270+30x+36x+4x^{2} =340\\ \\4x^{2}+66x-70=0](https://tex.z-dn.net/?f=270%2B30x%2B36x%2B4x%5E%7B2%7D%20%3D340%5C%5C%20%5C%5C4x%5E%7B2%7D%2B66x-70%3D0)
Solve the quadratic equation by graphing
The solution is ![x=1\ m](https://tex.z-dn.net/?f=x%3D1%5C%20m)
see the attached figure
Part 2) we have
![2x^{2} -5x-9=0](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20-5x-9%3D0)
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula