What is the next in the series: 0, 1, 1, 2, 3, 5, 8, 13......?

Appeared in: NORCET 2 - 2021 (shift-1)

Explanation

The question asks for the next term in the series 0, 1, 1, 2, 3, 5, 8, 13.
This sequence is a classic example of the Fibonacci sequence.
In a Fibonacci sequence, each number is the sum of the two preceding numbers.
Applying this rule, the next number is found by adding the last two terms: 8 + 13 = 21.

Option B: This is the term that comes after 21 in the Fibonacci sequence.
Option C: This number does not follow the additive pattern of the sequence. The sum of the last two terms (8 + 13) is 21, not 25.
Option D: This number does not follow the additive pattern of the sequence. The sum of the last two terms (8 + 13) is 21, not 19.

Visual 1: Diagram - A flowchart illustrating the Fibonacci sequence, showing that each number is the sum of the two preceding ones, starting from 0 and 1.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Number Series - Fibonacci Sequence as background academic context rather than a clinical decision trigger.
While not a clinical topic, this type of logical reasoning question assesses pattern recognition and analytical skills.
These skills are essential for nurses when interpreting patient data, recognizing trends in vital signs, and making quick, logical decisions in clinical practice.
What if the series started with 1, 1, 2, 3...? It would still be the Fibonacci sequence, and the principle of adding the two previous numbers remains the same. The sequence just omits the initial zero.

How to Approach the Question

Examine the sequence of numbers: 0, 1, 1, 2, 3, 5, 8, 13.
Look for a relationship between adjacent numbers. Test for simple arithmetic (constant difference) or geometric (constant ratio) progressions.
Observe that each number (from the third one onwards) is the sum of the two numbers before it (e.g., 1+1=2, 1+2=3, 2+3=5).
Identify this pattern as the well-known Fibonacci sequence.
To find the next term, apply this rule to the last two numbers in the given series.
Calculate the sum: 8 + 13 = 21.

Concept Tested & Keywords

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Practise the full NORCET 2 - 2021 (shift-1)

Attempt every question from this paper in a timed mock, then review the full solution for each one.