Multiple choice

What will be the nth term when the series is 1,3,5, ...

  1. 2n

  2. 2n+1

  3. 2n+3

  4. 2n-1
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D Correct answer
Explanation

The series is an arithmetic progression with first term a = 1 and common difference d = 2. The n-th term is a + (n-1)d = 1 + (n-1)2 = 1 + 2n - 2 = 2n - 1.

AI explanation

The given sequence 1, 3, 5 represents the series of consecutive odd numbers. The formula for the nth term of an arithmetic progression is a + (n - 1)d, where a is the first term and d is the common difference. Substituting the values from the series gives 1 + (n - 1)2, which simplifies to 2n - 1.

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