What is -197 multiplied by 61?

Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci, and O if it is not one of the mentioned types. Show your Solution. a. $\frac{1}{3},\frac{2}{9},\frac{3}{27},\frac{4}{81},...$ b. $3,8,13,18,...,48$

-8^3

Evaluate 180^(2/3)

To find: The sum of the given arithmetic sequence.
The sequence ${\displaystyle \sum n=190(3-2n)}$

Assume the following sequence is arithmetic: ${\displaystyle 7,12,\cdots }$
a) Create a table for this sequence
$\begin{array}{|ccccccc|}\hline x& & & & & & \\ y& & & & & & \\ \hline\end{array}$

b) What is the common difference?
What is zero term?
c) Write the equation for ${\displaystyle y=?}$

DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q ae the same \(P(x) = 3x^{4} - 5x^{3} + x^{2} - 3x +5\)
\(Q(x) = (((3x - 5)x + 1)x^3)x + 5\)
Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial
\(R(x) =x^{5} - 2x^{4} + 3x^{3} - 2x^{2} + 3x + 4\) in “nested” form, like the polynomial Q. Use the nested form to find R(3) in your head.
Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value ofa polynomial using synthetic division?

For polynomial arithmetic with coefficients in ${\displaystyle Z_{10}}$, perform the following calculations.
a.${\displaystyle (7x+2)-(x^2+5)}$
b.${\displaystyle (6x^2+x+3)\times (5x^2+2)}$