Multiple choice

What is the 5th term of the sequence 100, 59, 18,...?

  1. –63

  2. – 64

  3. – 65

  4. – 66
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B Correct answer
Explanation

The sequence is 100, 59, 18. The difference is -41. 100 - 41 = 59, 59 - 41 = 18. The 4th term is 18 - 41 = -23. The 5th term is -23 - 41 = -64.

AI explanation

This sequence follows an arithmetic progression where the first term a is 100 and the common difference d is -41. The nth term formula for an arithmetic progression is a + (n - 1)d. Substituting the values gives the 5th term as 100 + (5 - 1)(-41), which equals 100 - 164, so the result is -64.

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