Answer:
Step-by-step explanation:
Irrational numbers are the subset of real numbers that are not at all connected to the rest of numbers.
The subsets of real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.
Natural numbers are subset of whole numbers, which are subset of integers, which are subset of rational numbers. Hence, all of them are interconnected. The set of irrational numbers is the only subset of real numbers which is not associated with the rest.
For example:-
1 is a natural number, whole number, integer, rational number but not irrational number. On the other hand,
is an irrational number but none of the rest.
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Answer:
The explicit formula for the given expression is
.
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is

The explicit formula for an AP is

Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.



Therefore the explicit formula for the given expression is
.
Answer:
4
Step-by-step explanation:
(32 + x)/6=6
Answer:
y = 1/2 (2)x
Step-by-step explanation:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2