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What age groupCollege
What topicArithematic Sequence
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Number of questions10
Number of answers4
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Arithmetic Sequence Quiz

Instructions

Answer the following questions related to Arithmetic Sequences. Choose the correct answer for questions that provide options.

Questions

  1. What is the common difference in the arithmetic sequence where the first term is 5 and the second term is 9? A. 2
    B. 4
    C. 1
    D. 3

  2. If the first term of an arithmetic sequence is 10 and the common difference is -2, what is the fifth term of the sequence?

  3. Which of the following formulas represents the nth term of an arithmetic sequence? A. ( a_n = a_1 + (n-1)d )
    B. ( a_n = n + a_1 )
    C. ( a_n = a_1 \cdot d^{n-1} )
    D. ( a_n = \frac{a_1 + a_n}{2} )

  4. Given the arithmetic sequence 4, 7, 10, 13, what is the 10th term?

  5. In an arithmetic sequence, if the 7th term is 25 and the 12th term is 40, what is the common difference? A. 3
    B. 5
    C. 4
    D. 2

  6. Find the sum of the first 20 terms of an arithmetic sequence where the first term is 3 and the common difference is 5.

  7. Which of the following sequences is an arithmetic sequence? A. 2, 5, 10, 17
    B. 1, 3, 5, 7
    C. 1, 2, 4, 8
    D. 3, 6, 12, 24

  8. The total number of terms, common difference, and last term of an arithmetic sequence are 15, 4, and 60 respectively. What is the first term?

  9. If the 3rd term of an arithmetic sequence is 12 and the common difference is 4, what is the first term?

  10. Calculate (n) if the 10th term of an arithmetic sequence is 50, the first term is 5, and the common difference is (d).


Answer Key

  1. A
  2. 2
  3. A
  4. 34
  5. B
  6. 630
  7. B
  8. 9
  9. 0
  10. 9