Write the first five terms of the sequence defined by the recursive formula an=2*(an-1)+3 with a1=-2
1 answer:
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Answer:
Natural, integer, rational: 10, 9,
Integer, rational: -6
Rational: 3.7, 3.3333333
Irrational: , 1.41421356
Step-by-step explanation:
Given numbers:
To classify them in natural integer, whole rational or irrational numbers.
Solution:
Natural numbers are whole numbers stating from 1.
{1,2,3,4,5,6..........}
Whole numbers are integers starting from 0.
{0,1,2,3,4,5...........}
Integers are all real numbers that do not include decimals or fractions.
{.............-4,-3,-2,-1,0,1,2,3,4.........}
Rational numbers are those numbers which can be represented as fraction of whole numbers. For example:
Irrational numbers are those numbers which cannot be represented as simple fractions.
<em>Based on the above definitions, we can classify numbers.</em>
1) 10
Natural, Integer, Rational
2)
Irrational
3) -6
Integer, Rational
4) 3.33333333333
Rational
5) 9
Natural, Integer, Rational
6) 3.7
Rational
7)
Natural, Integer, Rational
8) 1.41421356
Irrational
now, bear in mind, the square root gives us +/- versions, so, which is it? well, we know the angle is in the range of "<span>0 ≤ θ < π/2", that simply means the 1st quadrant, so, we'll use the positive one then
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