Answer:
25
Step-by-step explanation:
Answer:
-37x+26
Step-by-step explanation:
The x-coefficients have the sequence ...
-2, -7, -12, ...
which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...
-2 + (-5)(8 -1) = -37
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The constants have the sequence ...
5, 8, 11, ...
which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...
5 +(3)(8 -1) = 26
The 8th term of the sequence is -37x +26.
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The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
In the above, we have used n=8 to find the 8th term.
If you're multiplying by 10, you're moving the decimal point to the right, the same with any multiplication in the 10's, so 100, 1,000, etc. This is because you are making the number 10 times larger, so if you had 3.4, the 4 is in the 1/10 column so multiplying by 10 would put it in the units column, making the number 34.
On the other hand, dividing by the 10's makes the decimal point move to the left because you are making the number 10 times smaller, so if the units column is worth 1, then 10 times less than that is 1/10, which is the first decimal place.
I hope this helps! I tried to explain it well but let me know if you still don't understand or if I've confused you in any way :)
