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1 vote
Write an expression to represent the pattern.
19, 27, 35, 43...

User Leverin
by
8.0k points

2 Answers

5 votes

Answer:
\Huge\boxed{a_n=19+8(n-1)}

Explanation:

Given sequence


19,~27,~35,~43~...

Given arithmetic sequence expression


a_n=a_1+d(n-1)


a_n=nth~term


a_1=1^(st)~term


\text{d=Common~{difference}}


n=nth~position

Determine the common difference


27-19=\underline{8}


35-27=\underline{8}


43-35=\underline{8}


d=\large\boxed{8}

Substitute values into the given expression


a_n=(19)+(8)(n-1)


\Huge\boxed{a_n=19+8(n-1)}

Hope this helps!! :)

Please let me know if you have any questions

User Kristian Vukusic
by
7.5k points
4 votes

Answer:

Explanation:

This represents an arithmetic sequence, modeled by the formula


a_n=a_1+d(n-1) where a1 is the first term, d is the common difference, and n stands for the position in the sequence. For example, the number 27 is in the second position, so a2 = 27. We need to find the common difference, the same number either added in or subtracted away that will get us from one number to the next. To get from a1 = 19 to a2 = 27, we add 8. Then to get from 27 to 35 we add 8. Likewise, for the difference between 43 and 35. So d = 8. Our formula is


a_n=19+8(n-1) and simplify a bit to


a_n=19+8n-8 and a bit more to


a_n=8n+11

As you can see, arithmetic sequence formulas always represent straight lines!

User Ptomato
by
8.7k points

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