Question:
Find the \( 15^{\text{th}} \) term of the Fibonacci series if the \( 13^{\text{th}} \) and \( 14^{\text{th}} \) terms are 144 and 233 respectively.
Find the \( 15^{\text{th}} \) term of the Fibonacci series if the \( 13^{\text{th}} \) and \( 14^{\text{th}} \) terms are 144 and 233 respectively.
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In Fibonacci problems, always remember: next term = sum of previous two terms.
Updated On: Apr 22, 2026
- 377
- 389
- 261
- 260
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The Correct Option is A
Solution and Explanation
Concept:
In a Fibonacci sequence, each term is the sum of the two preceding terms:
\[
F_n = F_{n-1} + F_{n-2}
\]
Step 1: Use the given terms.
\[ F_{13} = 144,\quad F_{14} = 233 \]
Step 2: Find the \( 15^{\text{th}} \) term.
\[ F_{15} = F_{14} + F_{13} = 233 + 144 = 377 \] Thus, the \( 15^{\text{th}} \) term is 377.
Step 1: Use the given terms.
\[ F_{13} = 144,\quad F_{14} = 233 \]
Step 2: Find the \( 15^{\text{th}} \) term.
\[ F_{15} = F_{14} + F_{13} = 233 + 144 = 377 \] Thus, the \( 15^{\text{th}} \) term is 377.
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