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Lesson Worksheet: Fibonacci-Like Sequences Mathematics

In this worksheet, we will practice working out terms in a Fibonacci-like sequence.


If the sum of the first ten terms in a Fibonacci sequence is 154, find the seventh term of the sequence.


The second and fifth terms of a Fibonacci sequence are 1 and 5. Find the first term.


If the fifth term in a Fibonacci sequence is 5, find the sum of the first six terms of the sequence.


Which of the following is a Fibonacci-like sequence?

  • A6,18,24,42,
  • B31,50,71,121,
  • C46,40,86,116,
  • D26,43,96,139,
  • E13,28,34,52,


Find the next four terms of the Fibonacci-like sequence: 1,1,2,3,.

  • A5,13,21,34
  • B5,9,14,23
  • C6,9,15,24
  • D5,8,13,21
  • E6,18,34,43


Which of the following is a recursive formula for a Fibonacci-like sequence?

  • A𝑥=𝑥+𝑥, 𝑛>1
  • B𝑥=𝑥+𝑥, 𝑛>1
  • C𝑥=𝑥+𝑥, 𝑛1
  • D𝑥=𝑥𝑥, 𝑛>1
  • E𝑥=𝑥𝑥, 𝑛1


If the next term of a sequence is calculated by summing the two previous terms, what type of sequence is it?

  • AHarmonic sequence
  • BFibonacci-like sequence
  • CLinear sequence
  • DGeometric sequence
  • EQuadratic sequence


What is the position of the first term greater than 100 in the Fibonacci-like sequence (1,1,2,3,5,)?


Does 144 belong to the Fibonacci-like sequence (1, 1, 2, 3, 5, )?

  • AYes
  • BNo


If the sum of the first four terms in a Fibonacci-like sequence is 27 and the sixth term is 30, find the second term of the sequence.

This lesson includes 1 additional question and 72 additional question variations for subscribers.

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