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
#SPJ1
Answer:
Percentage Profit is 63.63%
Step-by-step explanation:
The man buys 440 eggs at 55 pence a score
i.e. he buys 20 eggs for 55 pence
He buys 1 egg for 55/20 = 2.75 pence
Therefore, he buys 440 eggs for = 440 × 2.75 = 1210 pence
10% eggs are unsaleable
thus he sold = 440 - 440 × 10/100 = 440 - 44 = 396 eggs
Eggs sold in dozen = 396/12 = 33
He sold 1 dozen for = 60 pence
Thus, he sold 33 dozen for = 33 × 60 = 1980 pence
Profit = 1980 - 1210 = 770 pence
% Profit = (770/1210) × 100 = 63.63%
(hope this helps can i plz have brainlist :D hehe)
She read 3 hours and 15 minutes.
Hope this helps!
1/18 because 1/6 of 1/3 of the girls painted their nail red and 1/6 of 1/3 is 1/6*1/3 or 1/18.
Answer:
B. Infinitely Many
Step-by-step explanation:
Step 1: Distribute
5x + 48 + 7x = 12x + 48
Step 2: Combine like terms
12x + 148 = 12x + 48
If the 2 lines are the same, which they are, they are the same lines. That means there are an infinite amount of solutions. If they had the same slope but different y-intercepts, there would be no solutions because the lines are parallel. Any other pair of equations would have 1 solution.
