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29.07.2020 •
Mathematics
Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence? first term has 6 second term has 9 third has 12 PLS HELP WILL MARK BRAINLIEST
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Ответ:
603 dots
Step-by-step explanation:
Triangle always has 3 sides. Given that
Each new triangle shown below has one more dot per side than the previous triangle. That means if first term has 6 dot, the second term will have 9 dots and third has 12 dots.
The difference between first and the second is the same with the difference between third and the second. That is,
First term a = 6
Difference d = 3
Number of term n = 200
This is arithmetic progression. We can come up with a formula:
Tn = a + ( n - 1 )d
Substitute all the parameters into the formula
Tn = 6 + ( 200 - 1 )×3
Tn = 6 + 199×3
Tn = 6 + 597
Tn = 603 dots
Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.
Ответ:
Number of Small Cones Sold=22
Number of Large Cones Sold=34
Step-by-step explanation:
Suppose,
Number of Small Cones Sold: s
Number of Large Cones Sold: l
For the condition that, larges cones sold were 12 more than small ones, equation would be
and for the total revenue condition of $163
By solving equation (i) and (ii) simultaneously, we get
s=22
and
l=34
Hence, small cones sold would be 22 and large cones sold would be 34.