14,7,7/2
The answer is 29.5.
To get this answer, first multiply 7/2 by 2 to get 7:
7/2 x 2 = 7
Then add that 7 to the original 14:
14 + 7 = 21
So the answer is 21 + 7/2. To turn that mixed number into an improper fraction, multiply the whole number by the denominator (2 x 21 = 42) and add the numerator (42 + 7 = 49). The denominator stays the same:
49/2
To get the decimal approximation, divide the numerator by the denominator:
49 รท 2 = 24.5
So the final answer is 14 + 7/2 = 29.5.
This is a geometric sequence, with r = 1/2
so the next few terms are 7/4, 7/8, 7/16 ...
That's correct!
A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed non-zero number called the common ratio. In this case, the first term is 14, and the common ratio is 1/2.
So the next term would be:
14 x 1/2 = 7
The term after that would be:
7 x 1/2 = 7/2
And so on, continuing to multiply each previous term by 1/2 to find the next term. This gives us the sequence:
14, 7, 7/2, 7/4, 7/8, 7/16...
which is indeed a geometric sequence with common ratio 1/2.
To compute the expression 14, 7, 7/2, we need to understand the different types of numbers being used.
First, let's start with whole numbers. 14 is a whole number because it does not have any fractional or decimal parts. It represents a complete quantity.
Next, we have 7, which is also a whole number. It represents a complete quantity just like 14.
Finally, we have 7/2. This is a fraction that represents a number between two whole numbers. The number above the fraction line is called the numerator (in this case, 7), and the number below the fraction line is called the denominator (in this case, 2).
To compute the expression 14, 7, 7/2, we can start by evaluating the whole numbers. 14 and 7 remain unchanged because they are already whole numbers. So, the first two numbers in the expression are 14 and 7.
To compute 7/2, we need to divide the numerator (7) by the denominator (2).
To simplify this division, we divide 7 by 2. The result is 3 with a remainder of 1.
Since 7 divided by 2 is equal to 3 with a remainder of 1, we can express 7/2 as the mixed number 3 1/2.
So, the final expression 14, 7, 7/2 simplifies to 14, 7, 3 1/2.