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				   If (1+x-2x^2)^6=1+a1x+a2x^2+.....+a12x^12

then the expression a2+a4+a6+.......+a12 has the value

Respected sir reply me some concepts related to this que.

6 years ago


Answers : (1)


Dear manan


put  x=1

 0 = 1+a1+a2+a3+ ......a12 ..................(1)

now put x=-1

26 = 1-a1 +a2-a3 +a4 .....+a12 ..............(1)

add (1) +(2)

26 = 2(1+a2 +a4+a6 ...a12)

so a2 +a4+a6 + ...a12 =a5 -1

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6 years ago

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