Multiple choice

Find the nth term of the given sequence. 8, 3, - 2, - 7, - 12, ...

  1. 5 + n
    • 5n + 13

  3. 5n - 13

  4. 5n + 13
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B Correct answer
Explanation

This is an arithmetic sequence with first term a = 8 and common difference d = -5. The nth term is a + (n-1)d = 8 + (n-1)(-5) = 8 - 5n + 5 = -5n + 13.

AI explanation

The given sequence is an arithmetic progression with the first term a as 8 and the common difference d as -5. Using the formula for the nth term, Tn = a + (n - 1)d, we substitute the values to get Tn = 8 + (n - 1)(-5). Expanding this gives 8 - 5n + 5, which simplifies to -5n + 13.

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