Practice Test GeeksAMC12 - American Mathematics Competition 12 Practice Test
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Sequences & Series Flashcards

6 cards from real AMC12 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. In the Fibonacci sequence 1,1,2,3,5,8,13,..., what is the 8th term?

    Answer: 21

    Listing the terms: 1,1,2,3,5,8,13,21 — the 8th term is 21.

  2. What is the sum of k^2 for k=1 to 5?

    Answer: 55

    1+4+9+16+25=55.

  3. What is the 7th term of a geometric sequence with first term 2 and ratio 3?

    Answer: 1458

    a_7=2*3^6=2*729=1458.

  4. The formula for the sum of the first n perfect squares is:

    Answer: n(n+1)(2n+1)/6

    The closed-form formula for sum of first n squares is n(n+1)(2n+1)/6.

  5. A ball dropped from 10m rebounds to 3/5 of the previous height each bounce. What is the total distance traveled?

    Answer: 40

    Total=10+2*(6/(1-3/5))=10+30=40 meters.

  6. What is the coefficient of x^3 in the expansion of (1+x)^6?

    Answer: 20

    By the binomial theorem, the coefficient is C(6,3)=20.