The sum of the given sequence is -24846.
<u>Step-by-step explanation:</u>
The given Arithmetic sequence is 46 + 42 +38... +(-446) +(-450).
- The first term of the sequence = 46
- The last term of the sequence = -450
- The common difference ⇒ 46 - 42 = 4
<u>To find the number of terms in the sequence :</u>
The formula used is 
where,
- n is the number of terms.
is the late term which is -450.
is the first term which is 46.- d is the common difference which is 4.
Therefore, 
⇒ 
⇒ 
⇒ 
⇒ n = 123, since n cannot be negative.
∴ The number of terms, n = 123.
<u>To find the sum of the arithmetic progression :</u>
The formula used is 
where,
- S is the sum of the sequence.
- is the first term which is 46.
- is the late term which is -450.
Therefore, 
⇒ 
⇒ 
⇒ 
∴ The sum of the given sequence is -24846.
799 represents the value of the painting when it was found; the painting will be worth $926 after 5 years.
Plugging the values into the formula, you would get f(x) = 799(1.03)^5. Evaluate, and you should find the answer.
The answer is 8, because 3 is less than 5 and we are rounding it to the nearest whole number.
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The correct answer for the question that is being presented above is this one: "<span>1,903.73."</span>
Solution:
(1) Multiply the percent favored to the Number surveyed
0.60 * 2700 = 1,620
0.55 * 1900 = 1,045
0.40 * 1000 = 400
So the total is 3,065
(2) Get the weighted mean:
Add the total percent favored = 0.66 + 0.55 + 0.41 = 1.61
Weighted mean = 3,065 / 1.61 = 1,903.73
Answers A and C I think that’s correct
