Multiple choice

What is the sum of next 5 terms of the given sequence? 9, 18, 27, 36, ...

  1. 310

  2. 315

  3. 318

  4. 323
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B Correct answer
Explanation

The sequence is 9, 18, 27, 36. These are multiples of 9. The next 5 terms are 45, 54, 63, 72, 81. Sum = 45+54+63+72+81 = 315.

AI explanation

This sequence is an arithmetic progression with a common difference of 9, and its first term is 9. The sum of the next 5 terms, which are the 6th through 10th terms, is calculated using the formula n/2 * (2a + (n-1)d). The 6th term is 9 + 5*9 = 54 and the 10th term is 9 + 9*9 = 90, so the sum of these 5 terms is 5/2 * (54 + 90), which equals 5 * 72, giving a result of 315.

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