Question

14,7,7/2

Answer 1

This is a geometric sequence, with r = 1/2
so the next few terms are 7/4, 7/8, 7/16 ...

Answer 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 ÷ 2 = 24.5

So the final answer is 14 + 7/2 = 29.5.

Answer 3

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.