Download App

STD 11 - 8. sequence and series — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 8. sequence and series4 Marks
Question
Consider an arithmetic series and a geometric series having four initial terms from the set $\{11,8,21,16,26,32,4\}$ If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these two series is equal to .......
✓

Answer

a
$G P : 4,8,16,32,64,128,256,512,1024,2048,4096,8192$

$A P : 11,16,21,26,31,36$

Common terms : $16,256,4096$ only

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

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\vec a = 3\vec j + 4\vec k$ , $\vec b = 2\vec i + \vec k$ and $\vec c$ , $\vec d$ are respectively the component of $\vec a$ parallel & perpendicular to $\vec b$ ,then $\left[ {\left( {\vec a \times \vec c} \right) \times \left( {\vec c \times \vec d} \right)\,\left( {\vec c \times \vec d} \right) \times \left( {\vec d \times \vec a} \right)\left( {\vec d \times \vec a} \right) \times \left( {\vec a \times \vec c} \right)} \right]$ equals
→
The value of $\int \limits_{-2012}^{2012}\left(\sin \left(x^3\right)+x^5+1\right) d x$ is
→
Let $H _{ n }=\frac{ x ^2}{1+ n }-\frac{ y ^2}{3+ n }=1, n \in N$. Let $k$ be the smallest even value of $n$ such that the eccentricity of $H _{ k }$ is a rational number. If $l$ is length of the latus return of $H _{ k }$, then $21 l$ is equal to $.......$.
→
Let $S$ be the focus of the parabola $y ^2=8 x$ and let $PQ$ be the common chord of the circle $x^2+y^2-2 x-4 y=0$ and the given parabola. The area of the triangle $PQS$ is.
→
The number of functions $f :\{1,2,3,4\} \rightarrow\{ a \in Z :| a | \leq 8\}$ satisfying $f ( n )+$ $\frac{1}{ n } f ( n +1)=1, \forall n \in\{1,2,3\}$ is
→
The number of distinct real roots of $x^4-4 x^3+12 x^2+x-1=0$ is
→
Suppose $a_{1}, a_{2}, \ldots, a_{ n }, \ldots$ be an arithmetic progression of natural numbers. If the ratio of the sum of the first five terms of the sum of first nine terms of the progression is $5: 17$ and $110< a_{15} < 120$ , then the sum of the first ten terms of the progression is equal to -
→
If $A$, $B$ and $C$ are square matrices of order $3$ such that $A = \left[ {\begin{array}{*{20}{c}}   x&0&1 \\    0&y&0 \\    0&0&z  \end{array}} \right]$ and $\left| B \right| = 36$, $\left| C \right| = 4$,  $\left( {x,y,z \in N} \right)$ and $\left| {ABC} \right| = 1152$ then the minimum value of $x + y + z$ is
→
Let $\alpha$ and $\beta$ be the roots of the equation $x^{2}+(2 i -$ $1)=0$. Then, the value of $\left|\alpha^{8}+\beta^{8}\right|$ is equal to
→
There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the number of ways of selecting 4 men and 4 women is …..
→