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:
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Answer:
P (X | CI) = 0.7313
Step-by-step explanation:
X = event of getting a job
CI = Campus interview
P (X | CI) = p ( CI ∩ X) / P ( CI ) = P( CI | X)P(X) / P( CI | X)P(X) + P( CI | X')P(X')
P (X | CI) = 0.93 * 0.17 / 0.93 * 0.17 + 0.07 * (1 - 0.17)
P (X | CI) = 0.93 * 0.17 / 0.93 * 0.17 + 0.07 * 0.83
P (X | CI) = 0.1581 / 0.1581 + 0.0581
P (X | CI) = 0.1581 / 0.2162
P (X | CI) = 0.73126735
P (X | CI) = 0.7313
Answer:
400
Step-by-step explanation:
Because 365 is closer to 400 than it is to 300, 365 rounded to the nearest hundred is 400.
This one is A. Notice that every second the person moves 1.5 feet closer
