Multiple choice

What is the 305th term of the given sequence? 8, 5, 2, - 1, ...

  1. 915

  2. 913
    • 904
    • 912
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C Correct answer
Explanation

This is an arithmetic progression with first term a = 8 and common difference d = -3. The n-th term is a + (n-1)d. For n = 305, term = 8 + (304 * -3) = 8 - 912 = -904.

AI explanation

The given sequence is an arithmetic progression with the first term a as 8 and a common difference d of -3. Using the arithmetic sequence formula for the nth term, Tn = a + (n - 1)d, we substitute the known values to find the 305th term. The calculation is 8 + (305 - 1) * -3, which simplifies to 8 + 304 * -3. This results in 8 - 912, giving the final answer of -904.

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