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The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.
<h3>What is the nth term of an arithmetic series?</h3>
The nth term of an arithmetic sequence is calculated by the formula
aₙ = a + (n - 1) · d
Here the first term is 'a' and the common difference is 'd'.
<h3>Calculation:</h3>
The given sequence is an arithmetic sequence.
3, 7, 11, 15, 19, ....
So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.
Thus, the required 21st term in the sequence is
a₂₁ = 3 + (21 - 1) × 4
⇒ a₂₁ = 3 + 20 × 4
⇒ a₂₁ = 3 + 80
∴ a₂₁ = 83
So, the 21st term in the given arithmetic sequence is 83.
Learn more about the arithmetic sequence here:
brainly.com/question/6561461
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Answer:
Work shown below!
Step-by-step explanation:
(x + 4)(x - 3) = ![x^{2} -3x+4x-12=x^{2} +x-12](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-3x%2B4x-12%3Dx%5E%7B2%7D%20%2Bx-12)
IF USING GEOMETRY...
x-axis = (x, -y)
Because the x does not have a negative sign the number DOES NOT change to its opposite form, but because the y has a negative sign the number DOES changes to its opposite form (from negative number to positive.)
So... if we use the formula of x-axis, which is (x, -y), the coordinates (-7,-3) would change to (-7, 3)
ANSWER (-7, 3)
Answer:
Step-by-step explanation:
<u>Unit rate is the number of circuit boards a minute:</u>
- 25 boards every 5 minutes >>
- 25/5 boards every 5/5 minutes >>
- 5/1 boards/minutes
Correct choice is B