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CBSE Class 11-science Answered

<p class="MsoNormal"><span style="font-size: 9pt; line-height: 115%; font-family: Verdana, sans-serif; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Let f:W &ndash;W be a given function satisfying f(x)=f(x-1)+f(x-2) for x&gt;2 or x=2. If f(0)=0 and f(1)=1, then find the value of f(2)+f(3)+f(4)+f(5)+f(6).</span><span style="font-size: 9.0pt; line-height: 115%;"></span></p>
Asked by Anil | 11 May, 2017, 12:21: PM
Expert Answer
begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals straight f left parenthesis straight x minus 1 right parenthesis plus straight f left parenthesis straight x minus 2 right parenthesis space for space straight x greater or equal than 2 space
straight f left parenthesis 2 right parenthesis equals straight f left parenthesis 1 right parenthesis plus straight f left parenthesis 0 right parenthesis equals 1 plus 0 equals 1
straight f left parenthesis 3 right parenthesis equals straight f left parenthesis 2 right parenthesis plus straight f left parenthesis 1 right parenthesis equals 1 plus 1 equals 2
straight f left parenthesis 4 right parenthesis equals straight f left parenthesis 3 right parenthesis plus straight f left parenthesis 2 right parenthesis equals 2 plus 1 equals 3
straight f left parenthesis 5 right parenthesis equals straight f left parenthesis 4 right parenthesis plus straight f left parenthesis 3 right parenthesis equals 3 plus 2 equals 5
straight f left parenthesis 6 right parenthesis equals straight f left parenthesis 5 right parenthesis plus straight f left parenthesis 4 right parenthesis equals 5 plus 3 equals 8
rightwards double arrow straight f left parenthesis 2 right parenthesis plus straight f left parenthesis 3 right parenthesis plus straight f left parenthesis 4 right parenthesis plus straight f left parenthesis 5 right parenthesis plus straight f left parenthesis 6 right parenthesis equals 19 end style
Answered by Sneha shidid | 11 May, 2017, 04:30: PM
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