MCQ
Which of the following relation gives Fibonacci sequence?
- A
- B
- C
- D
Solution:
This is a recurrence relation which gives Fibonacci sequence.
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Given the integers r > 1, n > 2, and coefficients of (3r)th and (r + 2)nd terms in the binomial expansion of (1 + x)2n are equal, then:
$ \lim\limits_{\text{x} \rightarrow 0}\frac{\tan2\text{x}-\text{x}}{3\text{x}-\sin\text{x}}$ is equal to:
$2$
$\frac{1}{2}$
$-\frac{1}{2}$
$\frac{1}{4}$
If A, B, C are three mutually exclusive and exhaustive events of an experiment such that 3 $\text{P(A)}=2\text{P(B)}=\text{C},$ then P(A) is equal to: