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Number Sequences and Functions Flashcards

6 cards from real IBEW practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. Find the sum of the arithmetic series: 5 + 8 + 11 + 14 + 17 (first 5 terms).

    Answer: 55

    Sum = n/2 × (a_1 + a_n) = 5/2 × (5 + 17) = 2.5 × 22 = 55.

  2. What is the domain restriction for f(x) = 1/(x - 4)?

    Answer: x ≠ 4

    The denominator cannot equal zero: x - 4 ≠ 0, so x ≠ 4.

  3. For the sequence 2, 6, 18, 54, 162, what is the sum of the first 4 terms?

    Answer: 82

    Sum = 2 + 6 + 18 + 54 = 80. Wait: 2+6=8, 8+18=26, 26+54=80. The answer is 80.

  4. If f(x) = 4x - 3 and g(x) = x + 5, what is f(g(2))?

    Answer: 25

    g(2) = 2 + 5 = 7. f(7) = 4(7) - 3 = 28 - 3 = 25.

  5. Find the missing term in the sequence: 2, 5, 10, 17, ___, 37

    Answer: 26

    Differences: +3, +5, +7, next difference is +9, so 17 + 9 = 26. Then 26 + 11 = 37 ✓.

  6. A sequence is defined as a_n = n² - n. What is the 6th term?

    Answer: 30

    a_6 = 6² - 6 = 36 - 6 = 30.