The first four terms of a sequence are given. Can these terms be the terms of an arithmetic sequence? 38, -22, -6, 10,... Yes, the sequence is arithme

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. $3,8,13,18,...,48$

For each of the following sequences: @ identify if the sequence is arithmetic, geometric or quadratic’. Justify your response. @ assuming the first item of each sequence is a1, give an expression for aj. (In other words, find a formula for the i-th term in the sequence). @ if the sequence is arithmetic or geometric, compute the sum of the first 10 terms in the sequence $i2,-12,72,-432,2592,...$
$ii9,18,31,48,69,94,...$
$iii14,11.5,9,6.5,4,1.5,...$

What is the derivative of the function
${\displaystyle f\left(x\right)=\frac{3x-5}{5x+2}}$?

Solve the polynomial inequality graphically.
${\displaystyle 2x^3-5x^2+3x<0}$

What is 159 more than 956?

The terms in the polynomial ${\displaystyle -4y^5+7y^2-3y-2}$.

Insert five arithmetic means between 5 and 21. (Enter your answers from smallest to largest.) Find the sum of the first n terms of the arithmetic sequence. $-9+(-12)+(-15)$ + ... (to 10 terms)