Multiple choice

Find the nth term of the sequence 6, 10, 14, 18, ...

  1. 4n + 2

  2. 4n + 6

  3. 6n - 2

  4. 2n + 4
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A Correct answer
Explanation

This is an arithmetic progression with first term a=6 and common difference d=4. The n-th term is a + (n-1)d = 6 + (n-1)4 = 6 + 4n - 4 = 4n + 2.

AI explanation

The given sequence is an arithmetic progression where each term increases by a constant difference of 4. The formula for the nth term of an arithmetic progression is an = a1 + (n - 1)d. Substituting the first term 6 and the common difference 4 gives an = 6 + (n - 1)4, which simplifies to 4n + 2.

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