Comprehension Type Questions
The first four terms of a sequence are given by \( T_{1}=0, T_{2}=1.... VIDEO
Question Comprehension Type Questions
The first four terms of a sequence are given by \( T_{1}=0, T_{2}=1, T_{3}=1, T_{4}=2 \). The general term is given by \( T_{n}=A \alpha^{n-1}+B \beta^{n-1} \), where \( A, B \) and \( \alpha, \beta \) are independent of \( n \) and \( A \) is positive. The quadratic equation, whose roots are \( \alpha \) and \( \beta \), is given by
(A) \( x^{2}-2 x-1=0 \)
(B) \( x^{2}-2 x-2=0 \)
(C) \( x^{2}-x-1=0 \)
(D) None of these📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-29 If \( S_{n}=\frac{1}{6.11}+\frac{1}{11.16}+\frac{1}{16.21}+\ldots \) Upto \( n \) terms, then \(.... 2024-01-29 .... 2024-01-29 Let \( T_{n} \) denote the number of triangles which can be formed using the vertices of a regul.... 2024-01-29 In how many ways can a student choose a programme of 5 courses if 9 courses are available&n.... 2024-01-29 Find a three-digit number whose consecutive digits form a \( \mathrm{GP}\). If we subtract \(792.... 2024-01-29 The arithmetic mean of two positive numbers \( a \) and \( b \) exceeds their geometric mean by .... 2024-01-29 The middle term in the expansion of \( \left(x^{2}+\frac{1}{x^{2}}+2\right)^{n} \) is.... 2024-01-29 If \( a b^{2} c^{3}, a^{2} b^{3} c^{4}, a^{3} b^{4} c^{5} \) are in \( A P \) then the minimum v.... 2024-01-29 The \( \mathrm{AM}\) between two quantities \( a \) and \( b \) is twice a large as their \( \ma.... 2024-01-29 The sum of integers from \(1\) to \(100\) that are divisible by \(2\) or \(5\) is equal to.... 2024-01-29 Comprehension Type Questions
The first four terms of a sequence are given by \( T_{1}=0, T_{2}=1.... 2024-01-29 The solution of equation \( (x+1)+(x+4) \) \( +(x+7)+\ldots+(x+28)=155 \) is.... 2024-01-29 The sum of all natural numbers between \(1\) and \(100\), which are multiples of \(3\), is equal.... 2024-01-29 The digits of positive integer having three digits are in \( \mathrm{A.P.}\) and their sum is \(.... 2024-01-29 The first four terms of a sequence are given by \( T_{1}=0, T_{2}=1, T_{3}=1, T_{4}=2 \). The ge.... 2024-01-29 The first four terms of a sequence are given by \( T_{1}=0, T_{2}=1, T_{3}=1, T_{4}=2 \). The ge.... 2024-01-29 Three numbers are in \( \mathrm{A.P.}\) such that their sum is \(24\) and sum of their squares i.... 2024-01-29 The sum of the first \(100\) terms common to the series \( 17,21,25,29,33, \ldots \ldots \) and .... 2024-01-29 The number of terms in the series \( 101+99+97+\ldots+47 \) is.... 2024-01-29 Find the \( n^{\text {th }} \) term and \( 19^{\text {th }} \) term of the sequence \( 5,2,-1,-4.... 2024-01-29 If \( n^{\text {th }} \) terms of two \( \mathrm{AP's}\) are \( 3 n+8 \) and \( 7 n+15 \), then ....