It Is neither arithmetic or geometric
Answer:
7
Step-by-step explanation:
I think 7...... so yeah
Linear Sequences - increases or decrease by the same amount each time
2(n) : 2(1),2(2),2(3),2(4)
2n:2,4,6,8
Answer:
74 inches
Step-by-step explanation:
We can use Pythagorean Theorem, because this is a right triangle. We know it is a right triangle because of the little square in the corner indicating a right angle.
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
We know that we are looking for c, so the other two sides must be the legs.
The other sides are 24 and 70. They are a and b.
24^2+70^2=c^2
Evaluate the exponents.
576+4900=c^2
Add
5,476=c^2
Take the square root of both sides. This is because c is being squared. Taking the square root will reverse that and leave c by itself.
74=c
So, the hypotenuse is 74 inches
Answer:
95
Step-by-step explanation:
Let x represent the ones digit. The tens digit will be higher, because reversing the digits results in a lower number. Its value is (14 -x). The given relation is ...
(10(14-x) +x) -(10x +(14 -x)) = 36 . . . . reversing the digits gives 36 less
140 -9x -9x -14 = 36 . . . . eliminate parentheses
90 = 18x . . . . . . . . add 18x-36
5 = x . . . . . . ones digit
14-5 = 9 . . . tens digit
The original number is 95.
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<em>Check</em>
95 -59 = 36
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<em>Additional comment</em>
The difference in value when the digits of a 2-digit number are reversed is always 9 times the difference in the digits. This means the difference in the digits is 36/9 = 4. Since the sum of digits is 14, the two digits are (14+4)/2 = 9 and (14-4)/2 = 5. 95 is the number of interest.
The solutions to a "sum and difference" problem are half the sum and half the difference of the given sum and difference. That is how we know the larger digit is (1/2)(14 + 4), for example.
We worked this "the hard way" using the above equation. It can actually be worked in your head if you're familiar with these generic solutions.