The series contains ___ numbers.
We have hundreds of course questions with personalized recommendations + Account 100% premium
The series contains ___ numbers.
The sequence given by is a series of numbers.
Let's evaluate this sequence by calculating the first few terms:
From these calculations, the sequence produced is , which are all odd numbers.
Therefore, the numbers contained in the series are Odd numbers.
The correct answer, according to the provided choices, is: Odd.
Odd
Look at the following set of numbers and determine if there is any property, if so, what is it?
\( 94,96,98,100,102,104 \)
Mathematical reason: When you multiply any integer by 2, you get an even number. Subtracting 1 from an even number always gives an odd number!
Substitute the first few values: n = 1, 2, 3, 4. Look at the results and identify the pattern. Are they all even? All odd? All positive?
The sequence continues infinitely! will generate all positive odd numbers: 1, 3, 5, 7, 9, 11, 13...
Only if n can be zero or negative. For positive integers n, gives positive odd numbers starting from 1.
Yes! Recognize that 2n is always even, so 2n - 1 is always odd. This algebraic reasoning shows the pattern without calculations.
Get unlimited access to all 18 Series questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime