Find the Fifth Term in the Sequence 2n-1: Step-by-Step Solution

Question

For the series 2n1 2n-1

What is the fifth element?

Video Solution

Solution Steps

00:00 Find the fifth term in the sequence
00:03 Substitute N = 5 in the sequence formula
00:12 Substitute and solve to find the term
00:20 Always solve multiplication and division before addition and subtraction
00:26 And this is the solution to the problem

Step-by-Step Solution

The sequence given is defined by the formula 2n1 2n - 1 . To find the fifth element, we substitute n=5 n = 5 into the formula.

Following these steps:

  • Substitute n=5 n = 5 into the formula: a5=2(5)1 a_5 = 2(5) - 1 .
  • Perform the calculation: 2×5=10 2 \times 5 = 10 , and then 101=9 10 - 1 = 9 .

Thus, the fifth element of the series is 9 9 .

Therefore, the solution to this problem is 9 \mathbf{9} .

Answer

9