IPMAT IndoreAlgebra > MediumEntered answer:✅ Correct Answer: 3Related questions:IPMAT Indore 2021It is given that the sequence {xnx_nxn} satisfies x1=0,xn+1=xn+1+2√(1+xn)x_1 = 0, x_{n+1} = x_n + 1 + 2√(1+x_n)x1=0,xn+1=xn+1+2√(1+xn) for n=1,2,...n = 1,2,...n=1,2,... Then x31x_{31}x31 is _______IPMAT Indore 2019Let α,β\alpha, \betaα,β be the roots of x2−x+p=0x^2 - x + p = 0x2−x+p=0 and γ,δ\gamma, \deltaγ,δ be the roots of x2−4x+q=0x^2 - 4x + q = 0x2−4x+q=0 where p and q are integers. If α,β,γ,δ\alpha, \beta, \gamma, \deltaα,β,γ,δ are in geometric progression then p+qp + qp+q isIPMAT Indore 2023If f(n)=1+2+3+⋯+(n+1)f(n)= 1 + 2 + 3 +\cdots+(n+1) f(n)=1+2+3+⋯+(n+1) and g(n)=∑k=1k=n1f(k)g(n)= \sum_{k=1}^{k=n} \dfrac{1}{f(k)}g(n)=∑k=1k=nf(k)1, then the least value of nnn for which g(n)g(n)g(n) exceeds the value 99100\dfrac{99}{100}10099 is: