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:
a
Step-by-step explanation:
add and the take the parathesis out and there you have ur answer
Answer:
9 pigs
Step-by-step explanation:
We have the following numbers of heads:
pigs (p) + chickens (c) = 16 animal heads (1)
And the following numbers of feet:
4p + 2c = 50 animal feet (2)
From equation (1):
p = 16 - c (3)
By entering equation (3) into (2) we have:
4(16 - c) + 2c = 50
64 - 4c + 2c = 50
c = 7
Now, entering the value of c into equation (3) we have the next value of p:
p = 16 - c
p = 16 - 7
p = 9
Therefore, the number of pigs that Henry has is 9.
I hope it helps you!
Answer:
1.524
Step-by-step explanation:
4 cupcakes because if you do 12/ 1/.. you do kcf = to 12 x 1/3= 4
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