Page 29 - Math Grade 11 (Advance)

PROEUS DARA

A A A
661fHe~estDes~es6e~
3 $J (:;> ..
~~wB

I e) Q cf '\:)
&tllJfflS tn Nt~ nmru:a mtn~ bl.Jl2 g ") ts
n "'
0
d rutHiu sst tUtU
u IJ
2
druur; 1 nm~tttHi5 P(l) = 1 = 1
u IJ

2
druun 3 nm~tt:tHi5 P(3) = 1 +3 +5 = 3
u IJ
tf!lffiu91 mmsa ruun n n m~ ttl ru
t
"" u IJ
2
P(n) = 1 + 3 + 5 + ... + (2n- 1) = n
~ 0 I ":) ":J
r:lnmmgLf!lum~ts n '1 Q~
1

tt1U1~LN1ti5tn P(n) tlnsl ~QlS P(n + 1)
u
"" .,. 2
m P(n) r:ln tf!lQlS 1 + 3 + 5 + ... + (2n- 1) = n

~ tu:Ju'L M'l wu '1P 1't

2
tf!l~~m P(n+l) = 1+3+5+ ... +(2n-1)+[2(n+l)-l] = n +(2n+2-l)
2 2
= n + 2n + 1 = (n + 1)
.,.
P(n+ 1) r:ln '1

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