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DSE 數學科：指數、對數與數列

Exponentials, Logs & Sequences

12 題 MCQ（基礎 0 · 中等 12 · 高階 0），撳入去睇完整解說同上一題／下一題。未學過呢個課題？先睇 數學自學路徑單元 4。

  1. 中等MATH-EXPL-001

    1. Solve 2^x = 32.

  2. 中等MATH-EXPL-002

    2. What is log_3 81?

  3. 中等MATH-EXPL-003

    3. Which expression is equal to log a + log b − log c, for positive a, b and c?

  4. 中等MATH-EXPL-004

    4. What is the 15th term of the arithmetic sequence 5, 8, 11, …?

  5. 中等MATH-EXPL-005

    5. The first term of an arithmetic series is 4 and the common difference is 3. What is the sum of the first 20 terms?

  6. 中等MATH-EXPL-006

    6. A geometric sequence has first term 5 and common ratio 2. What is the 6th term?

  7. 中等MATH-EXPL-007

    7. What is the sum to infinity of 12 + 6 + 3 + …?

  8. 中等MATH-EXPL-008

    8. y varies directly as x. When x = 4, y = 12. What is y when x = 10?

  9. 中等MATH-EXPL-009

    9. y varies inversely as x. When x = 3, y = 6. What is y when x = 9?

  10. 中等MATH-EXPL-010

    10. Solve log_2 (x − 1) = 3.

  11. 中等MATH-EXPL-011

    11. Which sequence is geometric?

  12. 中等MATH-EXPL-012

    12. What is the common ratio of the geometric sequence 8, 4, 2, 1, …?