Do you mean a_(n+1), worded a sub (n+1)?
If so yes. If the function of the sequence is getting smaller or more negative with each term.
Answer:
Step-by-step explanation:
eq. of line parallel to AB is y=2x+a
if it passes through (3,-2) then
-2=2×3+a
a=-2-6=-8
y=2x-8
Answer:
Option 2: 
Step-by-step explanation:
Given:
From the triangle shown below;
A triangle QRS with angle QRS = 90°, ∠QSR = 30°.
Side QR = 5, SQ = 10 and RS = 5√3
Now, we know from trigonometric ratio that,

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

Therefore, the value of sine of 30° is one-half. So, second option is correct.
Answer:
400,000 bacteria
Step-by-step explanation:
If we start at 100,000 and double every three hours until 6 hours, to colony will be at 400,000 bacteria.
First find out how many times it will double by dividing 6/3=2. It will double twice in 6 hours. Next double 100,000 once, to get 200,000. Then, double it once more to get to the final answer of 400,000 bacteria.
Hope this helps!