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
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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:
Step-by-step explanation:
use a calculator fo find the value
Answer:
27
Step-by-step explanation:
the sequence is 4 added to each number. 4 added to 23 is 27
Answer:
116°F = 46.67 °C and 6 Pounds = 2721.55 grams
Step-by-step explanation:
The information given in the question is 1°F = -17.22°C
1 Kilogram = 1000 grams = 2.2 pounds
And we have to convert 116° F to degrees Celsius and Six pounds to grams.
1) We know (°F-32)×5/9 =°C
So by putting the value of °F as 116 ⇒ (116-32)×5÷9 = °C
⇒ °C =
⇒ °C = 46.67
2). ∵ 2.2 Pounds = 1000 grams
∴1 Pound = 1000/2.2 = 454.54 grams
∴ 6 pounds = 6× 454.54 grams
= 2721.55 grams
Step-by-step explanation:
First, we define the variables:
x: number of years after 1950
f (x): amount of vinyl sold.
Then, with the variables defined, we have:
68594 vinyl records were sold in 1958 ---------> f (8) = 68594
91299 vinyl records were sold in 1961 ---------> f (11) = 91299
38720 vinyl records were sold in 1952 ---------> f (2) = 38720
161743 vinyl records were sold in 1967 ---------> f (17) = 161743