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SEQUENCES AND SERIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSEQUENCES AND SERIES1 Mark
MCQ
What is the third term of Fibonacci sequence?
  • A
    0
  • B
    1
  • ✓
    2
  • D
    3
✓

Answer

Correct option: C.
2
  1. 2
Solution:
$a_1=1 \text { and } a_2=1$
$a_n=a_{n-1}+a_{n-2}, n>2 .$
This is a recurrence relation which gives Fibonacci sequence.
$\Rightarrow a_3=a_1+a_2=1+1=2 .$

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