Find the Eighth Term in the n/2 Sequence Formula

Question

What is the eighth element of the sequence below?

n2 \frac{n}{2}

Video Solution

Solution Steps

00:00 Find the 8th element in the sequence
00:03 Let's substitute the position of the corresponding element in the sequence formula and solve
00:08 Let's substitute N = 8 in the sequence formula
00:15 And this is the solution to the problem

Step-by-Step Solution

To find the eighth element of the sequence defined by the formula n2 \frac{n}{2} , we will follow these steps:

  • Identify the formula provided for the sequence: an=n2 a_n = \frac{n}{2} .
  • Determine the position in the sequence we need: n=8 n = 8 .
  • Substitute n=8 n = 8 into the formula to find a8 a_8 .

Substituting n=8 n = 8 into the formula, we have:

a8=82 a_8 = \frac{8}{2} .

This simplifies to a8=4 a_8 = 4 .

Therefore, the eighth element of the sequence is 4 4 .

Answer

4