QJEEAdv17Madc8b: JEE Advanced 2017 Mathematics - Class 11 JEEAdv17Madc8b Solution: a 12 = ?

Question

Verified Solution • 2025–26 Session moderate

a₁₂ = ?

Accepted Answer

α

² =

α

+ 1

β

² =

β

+ 1

a_n = p

α

ⁿ + q

β

ⁿ

= p(

α

^{n $-$ 1} +

α

^{n $-$ 2}) + q(

β

^{n $-$ 1} +

β

^{n $-$ 2})

= a_{n $-$ 1} + a_{n $-$ 2}

∴

a₁₂ = a₁₁ + a₁₀

Step-by-Step Verified Solution