Page 10 - Math Grade 11 (Advance)

PROEUS DARA
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3. ;$asfi~GJJ~ :E ~~e~ru~nif$~~

3.1 runn n.n l:
m

~tlA1HdHtuHHli1JnUtS~n VI , Vz , v3 , ... , vn r;f;)q_ya@~tDQJl 2: ffiSm
I I "'
n
~uifl ML'i:ll'ihntlt:Hli1Jn n UtS~?'i '1 tf:1RM~tuHtu~ ..1 vk = VI+ Vz + v3 + ... + vll '1
I k =I
ntlt2l8 k t15nnt"H"n I, 2, 3, ... a.nn~Hli n '1
"' <V u
I
n
1+2+3+ ... +n = _.1k
k=I
n
~ k2
2
2
22
1 + + 33 + ... +n = L!
k=I
0 I 0
rutnHHH 1
u

2. 2 + 4 + 6 + 8 + ... + 100
1 1 1 1 1
f:1. 2 - 3 + 4 - S + ... + 50

n
n. 1 + 2 + 3 + ... + n = ..1 e
3
3
3
3
k = 1
2. 2 + 4 + 6 + 8 + ... + 100 = 2 X 1 + 2 X 2 + 2 X 3 + ... + 2 X 50

50
tf:1QlS 2+4+6+8+ ... +100 = _.12n '1
n = 1

(-I)"
nnsics Mn '1
u u ~ n

5