Series - class-X
Description: series | |
Number of Questions: 44 | |
Created by: Arav Srivastava | |
Tags: binomial theorem, sequence and series sequence, progression and series sequences and series numbers and sequences maths |
When each term of a sequence is connected using $a +$ or $a -$ sign, then it is referred to as the _____ of numbers.
In following symbol series, some of the symbols are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.
Adding all the terms in a sequence is called
$1 + 2 + 3 + 4 + 5 +.....$ is a
A sum of an infinite sequence it is called a
Identify the series.
The sum of first $5$ odd numbers is called
What is the next term of the series $1 + 3 + 5 + 7 +$ ___?
Adding first $100$ terms in a sequence is called
A _____ is a sum of numbers.
What is series?
Which one of the following is not a series?
$\displaystyle \frac{1}{2}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}+....$ is a
Adding and constant difference between the terms is called
A ______ is the sum of some set of terms of a sequence.
Expansion of series: $\displaystyle\sum _{n=0}^4 2n$
Which of the following is not an example of a series?
A fibonacci series is:
Which of the following is not a series?
A series is:
Series can be defined as:
A divergent series:
Which of the following option will complete the given series $1,6,15,?,45,66,91$?
Select the most appropriate option to identify the INCORRECT number in the series. $3,5,13,43,176,891,5353$
If $\left| x \right| <1$ and $\left| y \right| <1$, the sum to infinity of the series $x+y,({ x }^{ 2 }+xy+{ y }^{ 2 }),({ x }^{ 3 }+{ x }^{ 2 }y+x{ y }^{ 2 }+{ y }^{ 3 }),.........$ is
Sum the following series to n terms: $3+5+9+15+23+...$
The sequence $1,1,1,.... $ is in
If a series consists only a finite number of terms it is called a ................
If the sum of first $75$ terms of an AP is $2625$, then the $38^{th}$ term of an AP is
If in traingle ABC $\cos 2B=\dfrac {\cos (A+C)}{\cos (A-C)}$, then
A gentlemen invites a party of m + n $(m \neq n)$ friends to a dinner and places m at one table $T _1$ and n at another table $T _2$, the table being round. If not all people shall have the same neighbour n any two arrangement, then the number of ways in which he can arrange the guests, is
If $\displaystyle f(n+1)=\frac {2f(n)+1}{2}, n=1,2, .....$ and $f(1)=2$, then $f(101)= ..........$
If $a, b, c$ are in AP, $b - a, c - b$ and $a$ are in GP, then $a : b : c$ is
Let $x _{1}, x _{2}, .....x _{n}$ be in an AP of $x _{1} + x _{4} + x _{9} + x _{11} + x _{20} + x _{22} + x _{27} + x _{30} = 272$, then $x _{1} + x _{2} + x _{3} + ..... + x _{30}$ is equal to
$S _{n} = 1^{3} + 2^{3} + ..... + n^{3}$ and $T _{n} = 1 + 2 + ..... + n$, then
If for $n\in I, n > 10; 1+(1+x)+(1+x)^2+.....+(1+x)^n=\displaystyle\sum^n _{k=0}a _k\cdot x^k, x\neq 0$ then?
Identify the function for the following sequence $4, 10, 18, 28...$
Identify the sequence for the following function $n(n+3)$.
What is the next number in the sequence $2, 15, 41, 80, ?$
A, B, C, D are four points in a straight line. Distance from A to B is 10, B to C is 5, C to D is 4 and A to D is 1. Which one of the following is the correct sequence of the points ?
Find the first five terms of the sequence specified by the recursion formula
${a} _{k+1}={a} _{k}+3$, if ${a} _{1}=7$.