⎧ a(1)=−2 a(n)=a(n−1)−5 Find the 4^{\text{th}}4 th 4, start superscript, start text, t, h, end text, end superscript term in the sequence.

  -17

Step-by-step explanation:

When the sequence is defined recursively, it is often easiest just to evaluate the next term from the previous one. Here, each term is 5 less than the previous, so the first terms are ...

  -2, -7, -12. -17, ...

The 4th term is -17.

d? maybe

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.