Answers:

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Explanation:

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

and so on. This process may take a while to reach 
There's a shortcut. The nth term of any arithmetic sequence is

We plug in
and simplify

Then we can plug in various positive whole numbers for n to find the corresponding
value. For example, plug in n = 2

which matches with the second term we found earlier. And,

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The notation
refers to the sum of the first ten terms 
We could use either the long way or the shortcut above to find all
through
. Then add those values up. Or we can take this shortcut below.

The sum of the first ten terms is -85
-----------------------
As a check for
, here are the first ten terms:
- t1 = 5
- t2 = 2
- t3 = -1
- t4 = -4
- t5 = -7
- t6 = -10
- t7 = -13
- t8 = -16
- t9 = -19
- t10 = -22
Then adding said terms gets us...
5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85
This confirms that
is correct.
Answer:
Interest rate is 5.25% a year.
Step-by-step explanation:
r = (1/54)((22252.5/18000) - 1) = 0.004375
r = 0.004375
Convert decimal to percentage
R = 0.004375 * 100 = 0.4375%/month
Calculate annual rate
0.4375%/month × 12 months/year = 5.25% per year.
If you have a Scientific calculator you can type this in
Answer:
BRAINLEST I LOVE M.INECRAFT R O B L O X
Step-by-step explanation:
Answer:
m∠J = m∠Z = 46°
Step-by-step explanation:
m∠J = m∠Z = 46°