Multiple choice

What is the nth term of the given sequence? 1, 3, 5, 7, ...

  1. 2n + 1

  2. 2n - 1

  3. 1 + 2a

  4. None
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B Correct answer
Explanation

The sequence 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 = 2n - 1.

AI explanation

The given sequence 1, 3, 5, 7 is an arithmetic progression with the first term a equal to 1 and a common difference d equal to 2. Using the standard arithmetic progression formula for the nth term, Tn = a + (n - 1)d, we substitute the values to get Tn = 1 + (n - 1)2. Simplifying this expression yields 1 + 2n - 2, which results in 2n - 1.

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