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[1+(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^...

[1+(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)]=? | CLASS 14 | NUMBER SYSTEM | MATHS | Doubtnut

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(_(2+1)(2^(2)+1)(2^(4)+1)(2^(8)+1))/(2^(8)-1)=4^(n)+1

Value of (2+1) (2^(2) +1) (2^(4) +1) (2^(8) +1) (2^(16) +1) (2^(32) +1) (2^(64) +1) is

(1)/(2) + (1)/(4) + (1)/(8) +(1)/(16) + …" to" oo is

1 4/(8)-:1(2)/(8)xx1(2)/(4)+2(1)/(2)-1(1)/(4)

(2^(x-1)*4^(x+1))/(8^(x-1))=16

1+(1)/(3.2^(2))+(1)/(5.2^(4))+(1)/(7.2^(6))+.........=

8(1)/(4) - 4 (1)/(5)+ 2.8 +(4)/(?) - 2.32= 5.33