Let p,qbe integers and let α,βbe the roots of the equation, x2−x−1=0,where α=β. For n=0,1,2,,letan=pαn+qβn˙FACT : If aandbare rational number and a+b5=0,thena=0=b˙If a4=28,thenp+2q=7 (b) 21 (c) 14 (d) 12

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Let {p},{q}be integers and let , the roots of the equation, {x

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Let $p, q$ be integers and let $α, β$ be the roots of the equation, $x^{2} - x - 1 = 0,$ where $α \neq = β$ . For $n = 0, 1, 2,, l e t a_{n} = p α^{n} + q β^{n} ˙$ FACT : If $a a n d b$ are rational number and $a + b 5 = 0, t h e n a = 0 = b ˙$ If $a_{4} = 28, t h e n p + 2 q =$ 7 (b) 21 (c) 14 (d) 12

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Lucas Discussed

Let

p, q

be integers and let

α, β

be the roots of the equation,

x^{2} - x - 1 = 0,

where

α \neq = β

. For

n = 0, 1, 2,, l e t a_{n} = p α^{n} + q β^{n} ˙

FACT : If

a a n d b

are rational number and

a + b 5 = 0, t h e n a = 0 = b ˙

a_{4} = 28, t h e n p + 2 q =

7 (b) 21 (c) 14 (d) 12

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Question Text	Let $p, q$ be integers and let $α, β$ be the roots of the equation, $x^{2} - x - 1 = 0,$ where $α \neq = β$ . For $n = 0, 1, 2,, l e t a_{n} = p α^{n} + q β^{n} ˙$ FACT : If $a a n d b$ are rational number and $a + b 5 = 0, t h e n a = 0 = b ˙$ If $a_{4} = 28, t h e n p + 2 q =$ 7 (b) 21 (c) 14 (d) 12
Answer Type	Video solution: 1
Upvotes	152