Multiple choice

Find the 60th term of the given sequence. 2, 4.5, 7, ...

  1. 148.5

  2. 149.5

  3. 150.5

  4. 152.5
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B Correct answer
Explanation

This is an arithmetic progression with a=2 and d=2.5. The 60th term is a + 59d = 2 + 59 * 2.5 = 2 + 147.5 = 149.5.

AI explanation

The sequence is an arithmetic progression where the common difference is 4.5 - 2 = 2.5. Using the formula for the nth term of an arithmetic progression, Tn = a + (n - 1)d, we find T60. Substituting the values gives 2 + (60 - 1) * 2.5 = 2 + 59 * 2.5. This simplifies to 2 + 147.5 = 149.5.

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