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eduard
4 years ago
8

Graph the six terms of a finite series where a1 = -3 and r = 1.5.

Mathematics
2 answers:
zloy xaker [14]4 years ago
6 0

The verified answer is D.

zavuch27 [327]4 years ago
4 0
A1 is the 1st term 
r is the difference, they can say "r" or "d" for the difference 

1st a1 is the first term = -3
2nd "r" is the difference between each consecutive terms (coming after each other) = 1.5
the rule to get any term of the sequence as we add 1.5 each time is --> a1+(n-1)*d 
a1 --> 1st term , n --> order of the term u want whether 2nd, 3rd , 25th 
d --> difference 
so to get the 2nd-->    -3+(2-1)*1.5= -1.5
to get the 3rd -->        -3 +(3-1)*1.5 = 0 
<span>and so on </span>
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∵ m_{RS}=\frac{8-5}{1 - (-1)}=\frac{3}{2}

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∵ m_{ST}=\frac{-2-8}{7-1}=\frac{-10}{6}=\frac{-5}{3}

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∵ m_{UR}=\frac{5-0}{-1-2}=\frac{5}{-3}=\frac{-5}{3}

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- Multiply the two sides by 6 to cancel the denominator

∴ The equation of the median is 6y = -10x + 39

- Add 10x to both sides

∴ The equation of the median is 10x + 6y = 39

* The equation of the median of the trapezoid is 10x + 6y = 39

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