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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10
Step-by-step explanation:
first what is 10 take away 2 is 8 then 10 take away 2 is 8 + 2 equals 10 8 + 2 equals 10 so that's how I got the answer 10
First, let's only the expression with x stay on the let side: let's add 9 to both sides of the equation.
![\frac{1}{2} x-9+9=-25+9](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20x-9%2B9%3D-25%2B9)
which is
![\frac{1}{2}x=-16](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7Dx%3D-16)
now, let's multiply everything by 2:
![\frac{2}{2} x=-16*2](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B2%7D%20x%3D-16%2A2)
![x=-32](https://tex.z-dn.net/?f=%20x%3D-32)
so the answer is -32!
Answer: x=4
Step-by-step explanation:
-8-x=x-4x
-8-x=-3x
-8=-2x
x=4
Answer:
I think it's 36 from top to bottom
Step-by-step explanation:
and pls ask a real question, or ask more with info