Question: I. Determine what comes next in the given patterns. A, C, E, G, I, _________ 15 10 14 10 13 10 ________ 3 6 12

I. Determine what comes next in the given patterns.

  • A, C, E, G, I, _________
  • 15 10 14 10 13 10 ________
  • 3 6 12 24 48 96 _________
  • 27 30 33 36 39 _________
  • 41 39 37 35 33 _________

II. Substitute the given values in the formula to find the missing quantity.

  • P = 680,000; r = 12% per year; t = 8 years
  • A = 1,240,000; r = 8% per year; t = 30 years
  • A = 786,000; P = 247,000; t = 17 years
  • A = 731,093; P = 525,600; r = 3% per year
  • Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in population every 6 hours, what is the growth rate?How many bacteria will be there in two days?

III. Analyze the given sequence for its rule and identify the next three terms.

  • 1, 10, 100, 1000
  • 2, 5, 9, 14, 20
  • 16, 32, 64, 128
  • 1, 1, 2, 3, 5, 8

IV. Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, and so on.

  • Find Fib (8)
  • Find Fib (19)
  • If Fib (22) = 17,711 and Fib (24) = 46,368, what is Fib (23)?

Evaluate the following sums:

  • Fib (1) + Fib (2) = _______________
  • Fib (1) + Fib (2) + Fib (3) + Fib (4) = __________
  • Fib (1) + Fib (2) + Fib (3) ... + Fib (8) = _____________

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