You can factor the 32 out of the sum:

We can also change the index as follows

Now, we have a theorem that states that the series

converges if and only if
, and in this case we have

This is your case, because you have

which implies that your series converges, and the value is

Fractions and whole numbers ordered on the number line are similar because it tells parts throughout the line, like skip counting using adding or subtraction for example.
Whats different from them is because the fractions tell the parts more detailed between the whole numbers, such as 2 3/4 as a fraction on the number line. And 3 as a whole number on the number line.
Answer:
-6
Step-by-step explanation:
next step is
-10 +4
you move the 4 to the other side
that equals -6
Answer:
193.80
Step-by-step explanation:
30x6.46=193.80
There are mistakes in the answer options attached. These are the correct ones.
a. The group that received the bottle of solution is the control group.
b. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the control group.
c. Both the groups are control groups.
d. Neither group is an control group.
Answer:
B. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the control group
Step-by-step explanation:
In an experiment of this type, the control group is the group that does not contain the treatment. So in this group The effect of the treatment unknown unlike the experimental group which gets the treatment that the researcher is trying to find it's effect.
I. Conclusion, the group that got bottles that did not contain Ingredients for wrinkles lessening is the control group.