Multiple choice

Find the 24th term of the given sequence. 12, 18, 24, 30, …

  1. 144

  2. 150

  3. 162

  4. 168

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B Correct answer
Explanation

This is an arithmetic progression with first term a = 12 and common difference d = 6. The n-th term is a + (n-1)d. For n = 24, the term is 12 + (24-1) * 6 = 12 + 23 * 6 = 12 + 138 = 150.

AI explanation

The sequence is an arithmetic progression with a first term of 12 and a common difference of 6. The formula for the nth term is a + (n - 1)d, so the 24th term is 12 + (24 - 1)6. This simplifies to 12 + 23(6), which equals 12 + 138 = 150.