Solve n-0.5n: Finding the 8th Element in a Linear Sequence

Question

A sequence has a term-to-term rule of n0.5n n-0.5n .

What is the 8th element of the sequence?

Video Solution

Solution Steps

00:00 Find the 8th element in the sequence
00:03 Location of the desired element according to the given data
00:09 Substitute the appropriate position in the formula and solve to find the element
00:17 Always solve multiplication and division before addition and subtraction
00:24 And this is the solution to the question

Step-by-Step Solution

To find the 8th element of this sequence, we must apply the given term-to-term rule:

The rule provided is n0.5n n - 0.5n . Simplifying this, we obtain:

n0.5n=0.5n n - 0.5n = 0.5n

Thus, for the 8th term, substitute n=8 n = 8 into the simplified rule:

0.5×8=4 0.5 \times 8 = 4

Therefore, the 8th element of the sequence is 4 4 .

Thus, the correct answer is choice 1: 4 4 .

Answer

4 4