The next number in the sequence is 36.
Starting from 1, the number increases by 3, 1 + 3 = 4. But the next number, the number it's being increased by increases by 2. 3 + 2 = 5, 4 + 5 = 9. And again, 5 + 2 = 7, 7 + 9 = 16. And again. 7 + 2 = 9, 16 + 9 = 25. Therefore, it is increased to + 11, and the next number is 36.
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The outcomes with neither die showing 2 is 25
<h3>How to determine the outcomes with neither die showing 2?</h3>
The sample sizes of the dice are given as:
Blue die = 6
Red die = 6
The outcomes with neither die showing 2 is
Outcomes = Red die * blue die - (blue die + red die) + 1
So, we have:
Outcomes = 6 * 6 - (6 + 6) + 1
Evaluate
Outcomes = 25
Hence, the outcomes with neither die showing 2 is 25
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Well, the amount of degrees is 1,980, so plug that in so that the equation is 1980 = (n-2)180. Then, do order of operations. Divide 1980/180, which is 11. Then, just add 2. So, the polygon has 13 sides.