Find the Number of Terms in the Sequence 2n-1: Odd Number Series

The series 2n1 2n-1 contains ___ numbers.

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Step-by-step video solution

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00:00 Complete
00:05 Let's find the first element
00:08 Now let's find the second element
00:13 And the third element
00:20 Let's identify the sequence pattern and find the remaining elements
00:28 We can see that all numbers are odd
00:38 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

The series 2n1 2n-1 contains ___ numbers.

2

Step-by-step solution

The sequence given by 2n1 2n-1 is a series of numbers.

Let's evaluate this sequence by calculating the first few terms:

  • When n=1 n = 1 , 2(1)1=1 2(1) - 1 = 1
  • When n=2 n = 2 , 2(2)1=3 2(2) - 1 = 3
  • When n=3 n = 3 , 2(3)1=5 2(3) - 1 = 5
  • When n=4 n = 4 , 2(4)1=7 2(4) - 1 = 7

From these calculations, the sequence produced is 1,3,5,7, 1, 3, 5, 7, \ldots , which are all odd numbers.

Therefore, the numbers contained in the series 2n1 2n-1 are Odd numbers.

The correct answer, according to the provided choices, is: Odd.

3

Final Answer

Odd

Practice Quiz

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Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

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