P=2 (l+w)
we know P=284
we also know that l= w+50
so replace l in the equation with w+50
284=2 (w+50+w)
284=2 (2w+50)
divide both sides by 2
142=2w+50
subtract 50 on both sides
98=2w
divide both sides by 2
49=w
so width is 49, and we need to add 50 to it to find the length
l= 49 +50
l=99
Answer:
f(1)=-11
f(n)=f(n-1)+22
Step-by-step explanation:
Base equation:
f(n)=-11+22(n-1)
f(1)=-11+22(1-1)
f(1)=-11+0
f(1)=-11
f(n)=-33+22n
f(n-1)=-11+22(n-2)
f(n-1)=-55+22n
-33+22n=-55+22n+x
22n gets canceled out
-33=-55+x
-33+55=x
x=22
f(n)=f(n-1)+22
There are many answers for this and this is one of them:
Y = 4(3 + 1)
Y = 16
So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well
well, since the 17th term is that much, let's check what "d" is then anyway,
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.
Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.
So split the 2r into these two terms and group.
(5r^2 - 5r) + (7r - 7)
Factor both groups.
5r(r-1) + 7(r-1)
The factors of (r-1) can be added together to get the answer.
(r-1)(5r+7)
