CATAlgebra > Hardn−1a1+an\frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{n}}}a1+ann−1na1−aa+1\frac{\mathrm{n}}{\sqrt{\mathrm{a}_{1}}-\sqrt{\mathrm{a}_{\mathrm{a}+1}}}a1−aa+1nn−1a1+a2−1\frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{2-1}}}a1+a2−1n−1na1+an+1\frac{n}{\sqrt{a_{1}}+\sqrt{a_{n+1}}}a1+an+1n✅ Correct Option: 4Related questions:CAT 2021 Slot 2Three positive integers x,yx, yx,y and zzz are in arithmetic progression. If y−x>2y − x > 2y−x>2 and xyz=5(x+y+z)xyz = 5(x + y + z)xyz=5(x+y+z), then z−xz − xz−x equalsCAT 2018 Slot 2The value of the sum 7×11+11×15+15×19+⋯+95×997 \times 11 + 11 \times 15 + 15 \times 19 + \dots + 95 \times 997×11+11×15+15×19+⋯+95×99 isCAT 2020 Slot 3If x1=−1x_1 = -1x1=−1 and xm=xm+1+(m+1)x_m = x_{m+1} + (m + 1)xm=xm+1+(m+1) for every positive integer m,m,m, then x100x_{100}x100 equals