MCQ
Which of the following relation gives Fibonacci sequence?
  • ${a}_{n}={a}_{{n}-1}+{a}_{t{n}-2}$
  • B
    ${a}_{{n}-1}={a}_{n}+{a}_{{n}-2}$
  • C
    ${a}_{{n}-2}={a}_{n}+{a}_{{n}-1}$
  • D
    ${a}_{n}={a}_{{n}+1}+{a}_{{n}-2}$

Answer

Correct option: A.
${a}_{n}={a}_{{n}-1}+{a}_{t{n}-2}$
This is a recurrence relation which gives Fibonacci sequence.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Let $f:R \to R$ be a differentiable function having $f(2) = 6,f'(2) = \left( {\frac{1}{{48}}} \right).$ Then $\mathop {\lim }\limits_{x \to 2} \int\limits_6^{f(x)} {\frac{{4{t^3}}}{{x - 2}}} dt$ equals
If $\cos \,x = \frac{{2\cos y - 1}}{{2 - \cos y}},x,\,y\, \in \,\left( {0,\pi } \right),$ then $tan(x/2)cot(y/2) =$
If $\cos\text{x}=\frac{1}{2}\Big(\text{a}+\frac{1}{\text{a}}\Big),$ and $3\text{x}=\lambda\Big(\text{a}^3+\frac{1}{\text{a}^3}\Big),$ then $\lambda=$
If ${\left( {\frac{{1 + i\sqrt 3 }}{{1 - i\sqrt 3 }}} \right)^n}$ is an integer, then $n$ is
The amplitude of $\frac{1+\text{i}\sqrt{3}}{\sqrt{3}+\text{i}}$ is:
The equation of the straight line which passes through the point $(1, -2)$ and cuts off equal intercepts from axes, is
Number of integral values of '$m$' for which $\{x\}^2 + 5m\{x\} - 3m + 1 < 0 $ $\forall x \in  R$, is (where $\{.\}$ denotes fractional part function)
$2{\sin ^2}x + {\sin ^2}2x = 2,\, - \pi < x < \pi ,$ then $x = $
Each set $X_r$ contains $5$ elements and each set $Y_r$ contains $4$ elements and
$\bigcup\limits_{r = 1}^{24} {{X_r} = S = \bigcup\limits_{r = 1}^n {{Y_r}} }$ If each element of set $S$ belong to exactly $10$ of the $X_r's$ and to exactly $6$ of $Y_r's$, then $n$ is (where $\bigcup\limits_{r = 1}^{24} {X_r}$ denotes  $X_1 \cup X_2 \cup X_3 \cup ....... \cup X_{24})$
Let $\theta_1$ be the angle between two lines $2x + 3y + c_1\, = 0$ and $-x+5y + c_2\, = 0$ and $\theta_2$ be the angle between two lines $2x+ 3y + c_1\, = 0$ and $-x+ 5y + c_3\, = 0$, where $c_1, c_2, c_3$ are any real numbers 

Statement $-1$ : If $c_2$ and $c_3$ are proportional, then $\theta_1\, = \theta_2$

Statement $-2$ : $\theta_1\, = \theta_2$ for all $c_2$ and $c_3$