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

For the series 2n−1 2n-1

What is the fifth element?

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Step-by-step video solution

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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 written solution

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1

Understand the problem

For the series 2n−1 2n-1

What is the fifth element?

2

Step-by-step solution

The sequence given is defined by the formula 2n−1 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 10−1=9 10 - 1 = 9 .

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

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

3

Final Answer

9

Practice Quiz

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Look at the following set of numbers and determine if there is any property, if so, what is it?

\( 94,96,98,100,102,104 \)

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