# Recent questions tagged sequences&series

1
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first...
2
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first...
3
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first...
4
Consider a sequence of real numbers $x_{1}, x_{2}, x_{3}, \dots$ such that $x_{n+1} = x_{n} + n – 1$ for all $n \geq 1.$ If $x_{1} = -1$ then $x_{100}$ is equal to $4... 1 answer 5 For a sequence of real numbers$x_{1}, x_{2}, \dots , x_{n},$if$x_{1} – x_{2} + x_{3} – \dots + (-1)^{n+1} x_{n} = n^{2} + 2n$for all natural numbers$n,$then the... 1 answer 6 If$x_{0} = 1, x_{1} = 2$and$x_{n+2} = \dfrac{1 + x_{n+1}}{x_{n}}, n = 0, 1, 2, 3, \dots ,$then$x_{2021}$is equal to$1$$3$$4$$2 1 answer 7 Find the value of the expression 1-6+2-7+3-8+\dots\dots to 100 terms.-250$$-500$$-450$$-300$1 answer 8 The value of the following expression :$\left [ \frac{1}{2^{2}-1} \right ]+\left [ \frac{1}{4^{2}-1} \right ]+\left [ \frac{1}{6^{2}-1} \right ]+\dots\dots+\left [ \frac{...
9
The sum of first $n$ terms of an $A.P$. whose first term is $\pi$ is zero. The sum of next $m$ terms is :$\frac{ \pi m \left(m+n \right)}{n-1}$$\frac{ \pi n \left(m+n \ri... 2 answers 10 The greatest number of four digits which is divisible by each one of the numbers 12, 18, 21 & 28, is :9848$$9864$$9828$$9636$
11
Of the three numbers, the sum of the first two is $45$; the sum of the second and third is $55$ and the sum of the third and thrice the first is $90$. The third number is...
12
Study the following information carefully to answer the questions given below:A number sorting machine when given an input of numbers, rearranges the numbers in a particu...
Which of the following will be the middle digit of the middle number after reversing the digits of the following numbers ?$\text{389 675 493 728 536}$$3$$2$$8$$9$
Which of the following does not fit in the letter number series given below?$G$ $4$ $T$ $J$ $10$ $R$ $M$ $20$ $P$ $P$ $43$ $N$ $S$ $90$ $L$$J 10 R$$M$ $20$ $P... 1 answer 16 The value of$\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+ \dots \dots \dots+\dfrac{1}{90}$is:$\dfrac{1}{5}\\$$\dfrac{2}{5} \\$$\dfrac{3}{5} \\$$1 0 answers 17 The sum of the squares of the fifth and the eleventh term of an AP is 3 and the product of the second and fourteenth term is equal to x. Find the product of the first... 0 answers 18 If S_1,S_2,S_3,\dots\dots,S_m are the sum of first n terms of m arithmetic progressions, whose first terms are 1,4,9,16,\dots,m^{2} and common differences are 1... 2 answers 19 Study the following series Ⅰ and Ⅱ comprising letters/digits/symbols and answer the questions given below.Series I : N P Q * 5 4 B Z \ # 3 7 D 9 A ? F 8 G H 1 + D K... 2 answers 20 Study the following series Ⅰ and Ⅱ comprising letters/digits/symbols and answer the questions given below.\textbf{Series I :} N P Q * 5 4 B Z \ # 3 7 D 9 A ? F 8 ... 3 answers 21 Study the following series Ⅰ and Ⅱ comprising letters/digits/symbols and answer the questions given below.\textbf{Series I :} N P Q * 5 4 B Z \ # 3 7 D 9 A ? F 8 ... 1 answer 22 How many 9’s are there in the following number sequence which are immediately preceded by 3 but not immediately followed by 4?\text{2 3 9 5 1 3 9 6 7 3 9 4 8 9 3... 1 answer 23 In a certain code \text{UPGRADE} is written as \text{WNIPCBG}. How is \text{DROWN} written in that code?\text{BTMYL}$$\text{BPMYL}$$\text{BTQYL}$$\text{FPQUP}$2 answers 24 In a certain$\text{STABILISE}$is written as$\text{UVCDKNKUG.}$How is$\text{ORGANISE}$written in that code?$\text{QTICPKUG}$$\text{QTICPKUH}$$\text{QTIBPKUG}$$\text{... 1 answer 25 Shoes is related to Shining in the same way as Pant is related to\dots?StitchingWearingKeepingBuying 2 answers 26 Find the missing term:60,40,55,45,50,50,?$$45$$50$$55$$60 1 answer 27 If the consonants in the word ‘DROVE’ are first arranged alphabetically and the vowels are put in between two pairs of consonants in the alphabetical order, which of ... 1 answer 28 Find the missing alphabet:T,r,O,m,J,?$$h$$i$$I$$g 2 answers 29 In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives.\text{... 3 answers 30 In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives.\text{... 3 answers 31 In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives.DF, GJ,... 2 answers 32 In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives.\text{... 3 answers 33 In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives.\text{... 1 answer 34 Have a look at the series: 26,24,20,18,14,\dotsWhat number should come next?10$$12$$13$$16$1 answer 35 Have a look at the series:$4,7,5,8,6,9,\dots\dots,\dots$What number should come next?$7$$9$$10$$13 1 answer 36 Find the wrong number in the sequence125,127,130,135,142,153,165$$130$$142$$153$$165 1 answer 37 Have a look at the series : 2,1,(1/2),(1/4),\dots What number should come next?(1/3)$$(1/8)$$(2/8)$$(1/16)$1 answer 38 In the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.$\text{a...
In the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.$\text{a... 1 answer 40 In the following questions, one term in the number series is wrong. Find out the wrong term.$52,51, 48, 43, 34, 27, 16$$51$$48$$34$$43\$