A sequence of number is defined recursively by a_{1}=1, a_{2}=\frac{3}{7} and a_{n}= {a_{n-2} \cdot a_{n-1}}/{2 a_{n-2}-a_{n}-1} for all n \geq 3. Then

|\frac{1}{a_{2019}}-\frac{1}{a_{2018}}|=\frac{4}{3}

|\frac{1}{a_{2019}}-\frac{1}{a_{2018}}|=\frac{3}{4}

JEE Advanced 2020 Concept Recapitulation Test 4 Paper 1

Question : 42 of 54

Marks: +1, -0

A sequence of number is defined recursively by a1=1,a2=‌

and an=‌

an−2⋅an−1

2an−2−an−1

for all n≥3. Then

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