{(1 4 + ¼ )(3 4 + ¼ )(5 4 + ¼ ).....((2n-1) 4 +1/4 )} ÷ {(2 4 +1/4 )(4 4 +1/4)......((2n) 4 +1/4 )} = 1 ÷ (an 2 + bn +c) Find value of (a – b + c).

Question

{(1 4 + ¼ )(3 4 + ¼ )(5 4 + ¼ ).....((2n-1) 4 +1/4 )} ÷ {(2 4 +1/4 )(4 4 +1/4)......((2n) 4 +1/4 )} = 1 ÷ (an 2 + bn +c) Find value of (a – b + c).

Saurabh Koranglekar · Answer

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{(1 4 + ¼ )(3 4 + ¼ )(5 4 + ¼ ).....((2n-1) 4 +1/4 )} ÷ {(2 4 +1/4 )(4 4 +1/4)......((2n) 4 +1/4 )} = 1 ÷ (an 2 + bn +c) Find value of (a – b + c).

{(1⁴ + ¼ )(3⁴ + ¼ )(5⁴ + ¼ ).....((2n-1)⁴ +1/4 )}
÷ {(2⁴ +1/4 )(4⁴ +1/4)......((2n)⁴ +1/4 )}

= 1 ÷ (an² + bn +c)

Find value of (a – b + c).

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{(1 4 + ¼ )(3 4 + ¼ )(5 4 + ¼ ).....((2n-1) 4 +1/4 )} ÷ {(2 4 +1/4 )(4 4 +1/4)......((2n) 4 +1/4 )} = 1 ÷ (an 2 + bn +c) Find value of (a – b + c).

{(14 + ¼ )(34 + ¼ )(54 + ¼ ).....((2n-1)4 +1/4 )}÷ {(24 +1/4 )(44 +1/4)......((2n)4 +1/4 )} = 1 ÷ (an2 + bn +c) Find value of (a – b + c).

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{(1⁴ + ¼ )(3⁴ + ¼ )(5⁴ + ¼ ).....((2n-1)⁴ +1/4 )}
÷ {(2⁴ +1/4 )(4⁴ +1/4)......((2n)⁴ +1/4 )}

= 1 ÷ (an² + bn +c)

Find value of (a – b + c).