IPMAT Indore 2021 (SA) - It is given that the sequence x_n satisfies x_1 = 0, x_n+1 = x_n + 1 + 2√(1+x_n) for n = 1,2,... Then x_31 is _______ | PYQs + Solutions

IPMAT Indore 2021

Algebra

Progression & Series

Medium

It is given that the sequence { $x_n$ } satisfies $x_1 = 0, x_{n+1} = x_n + 1 + 2√(1+x_n)$ for $n = 1,2,...$ Then $x_{31}$ is _______

Entered answer:

✅ Correct Answer: 960

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