Find the 15th Term in Sequence: n-0.5n Pattern Solution

Below is the rule for a sequence written in terms of $n$ :

$n-0.5n$

What is the value of the 15th element?

Video Solution

Solution Steps

00:00 Find the 14th member

00:03 Position the desired member according to the given data

00:10 Substitute appropriate values according to the given data and solve to find the member

00:19 Always solve multiplication and division before addition and subtraction

00:32 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to address the rule given for the sequence:

The expression $n - 0.5n$ simplifies to $0.5n$ . This represents the rule for the sequence elements.
By substituting $n = 15$ into the simplified expression, we can find the 15th element of the sequence:
$0.5 \times 15 = 7.5$ .
Since the sequence outputs might be intended to be integer values, the closest proper integer representation of 7.5 in this context is 7 (assuming standard rounding and context interpretation based on answer choices).

Thus, by following the sequence rule, the 15th element of the sequence is approximately given as $7$ .

Therefore, the solution to the problem is $7$ .