Multiple choice

Find the nth term of the given sequence. 39, 34, 29, 24, ...

  1. 5n + 3

  2. -5n + 44

  3. n + 34

  4. 5n2 + 34
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B Correct answer
Explanation

This is an arithmetic progression with the first term a = 39 and common difference d = -5. The formula for the n-th term is a + (n-1)d, which is 39 + (n-1)(-5) = 39 - 5n + 5 = -5n + 44.

AI explanation

The sequence decreases by a constant value of five with each step, indicating a common difference of -5. Using the arithmetic progression formula for the nth term, Tn = a + (n - 1)d, we get Tn = 39 + (n - 1)(-5), which simplifies to Tn = 44 - 5n. This result matches the expression -5n + 44.

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