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.
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Answer:
75 minutes
Step-by-step explanation:
The rate at which the tank is filled up, F, and emptied, E, are respectively:
Since V is the full volume of the tank, the time required to fill the tank if both pipes are open is given by:
It will take 75 minutes to fill the tank if both pipes are open.
Answer:
as of my calculation it is, a acute angle to the looks of it. so it is therefore 25.
Step-by-step explanation:
Answer:
115
Step-by-step explanation:
180-65=115
the whole triangle is 180 degrees so subtract 65 degrees from it
Answer:
5=67
Step-by-step explanation:
54÷0=2×4=567
=44+4=667÷6
