Since we know the sequence is quadratic, we expect the
-th term to have the general form

Plug in the first 3 known values of the sequence to form a system of equations.



Eliminating
gives


Eliminating
gives

Solving for
, we get


So, the
-th term of the sequence is

2*l+b
Step-by-step explanation:
Athena square foot
Answer:
-5.6
Step-by-step explanation:
56/-10 = -5.6
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.