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

₹0.0

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 5th term? (2023)

Options:

Correct Answer: 13

Exam Year: 2023

Solution:

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

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 5th term? (2023)

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 5th term? (2023)

Step 1: Start with the first two terms of the sequence, which are 2 and 3.
Step 2: To find the 3rd term, add the 1st term (2) and the 2nd term (3). So, 2 + 3 = 5. The sequence now is 2, 3, 5.
Step 3: To find the 4th term, add the 2nd term (3) and the 3rd term (5). So, 3 + 5 = 8. The sequence now is 2, 3, 5, 8.
Step 4: To find the 5th term, add the 3rd term (5) and the 4th term (8). So, 5 + 8 = 13. The sequence now is 2, 3, 5, 8, 13.
Step 5: The 5th term of the sequence is 13.

Fibonacci-like Sequence – The question tests the understanding of a sequence where each term is generated by adding the two preceding terms, similar to the Fibonacci sequence.
Sequence Generation – It assesses the ability to generate terms in a sequence based on initial conditions.