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In a sequence where each term is the sum of the previous two terms, if the first

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Question: In a sequence where each term is the sum of the previous two terms, if the first two terms are 2 and 3, what is the fifth term? (2023)

Options:

  1. 8
  2. 13
  3. 21
  4. 34

Correct Answer: 13

Exam Year: 2023

Solution: 

The sequence is 2, 3, 5, 8, 13. The fifth term is 13.

In a sequence where each term is the sum of the previous two terms, if the first

Practice Questions

Q1
In a sequence where each term is the sum of the previous two terms, if the first two terms are 2 and 3, what is the fifth term? (2023)
  1. 8
  2. 13
  3. 21
  4. 34

Questions & Step-by-Step Solutions

In a sequence where each term is the sum of the previous two terms, if the first two terms are 2 and 3, what is the fifth term? (2023)
  • Step 1: Start with the first two terms of the sequence, which are 2 and 3.
  • Step 2: To find the third term, add the first two terms: 2 + 3 = 5.
  • Step 3: Now, the sequence is 2, 3, 5. To find the fourth term, add the second and third terms: 3 + 5 = 8.
  • Step 4: Now, the sequence is 2, 3, 5, 8. To find the fifth term, add the third and fourth terms: 5 + 8 = 13.
  • Step 5: The fifth term of the sequence is 13.
  • Fibonacci-like Sequence – The question tests the understanding of generating terms in a sequence where each term is the sum of the two preceding terms.
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