Multiple choice

First three terms of a sequence are 3, 5 and 7. Find the nth term of this sequence.

  1. 5n + 8

  2. 4n - 2

  3. 3n + 2

  4. 2n + 1
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D Correct answer
Explanation

The sequence is 3, 5, 7, which is an arithmetic progression with a=3 and d=2. The n-th term is a + (n-1)d = 3 + (n-1)2 = 2n + 1.

AI explanation

The given terms 3, 5, and 7 form an arithmetic progression with a common difference of 2. Using the formula for the nth term, an = a + (n - 1)d, we get 3 + (n - 1)2, which simplifies to 2n + 1. The nth term is 2n + 1.

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