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:
it is c 21 m2
Step-by-step explanation:
My reason is becuase if you multiply 6 and 1 then you 6 and if you multiply 5 and 3 you get 15 so then you add 15 and 6 and then you get 21 means answer is 21 and M2 hope this helps :)
Answer:
5 terms
Step-by-step explanation:
x is one term
-3 is one term
2y is one term
-16 is one term
4x is one term
5 terms in total
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The coefficient of x is the slope of the line , So the slope of the above equation is -3 .
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Remember from now on ,
Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .
Thus ;
m is the slope of the line which we want.
Negatives simplifies
Divide sides by 3
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We have following equation to find the point-slope form of the linear functions :
x(0) and y(0) are the coordinates of the point which the line passed through.
Add sides 8
Done....
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Answer:
7m+14 is the correct answer
