IPMAT IndoreAlgebra > Hardπ28\frac{\pi^2}{8}8π2π216\frac{\pi^2}{16}16π2π212\frac{\pi^2}{12}12π2π236\frac{\pi^2}{36}36π2✅ Correct Option: 1Related questions:IPMAT Indore 2024The terms of a geometric progression are real and positive. If the ppp-th term of the progression is qqq and the qqq-th term is ppp, then the logarithm of the first term 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:IPMAT Indore 2019If (1+x−2x2)6=A0+∑r=112Arxr(1 + x - 2x^2)^6 = A_0 + \sum_{r=1}^{12} A_r x^r(1+x−2x2)6=A0+∑r=112Arxr, then the value of A2+A4+A6+⋯+A12A_2 + A_4 + A_6 + \cdots + A_{12}A2+A4+A6+⋯+A12 is