CATAlgebra > Hard2712\frac{27}{12}1227158\frac{15}{8}8151611\frac{16}{11}11161513\frac{15}{13}1315✅ Correct Option: 3Related questions:CAT 2024 Slot 1Suppose x1,x2,x3,…,x100x_{1}, x_{2}, x_{3}, \ldots, x_{100}x1,x2,x3,…,x100 are in arithmetic progression such that x5=−4x_{5}=-4x5=−4 and 2x6+2x9=x11+x132 x_{6}+2 x_{9}=x_{11}+x_{13}2x6+2x9=x11+x13, Then, x100x_{100}x100 equalsCAT 2017 Slot 2If a1=12×5,a2=15×8,a3=18×11\mathrm{a}_{1}=\frac{1}{2 \times 5}, \mathrm{a}_{2}=\frac{1}{5 \times 8}, \mathrm{a}_{3}=\frac{1}{8 \times 11}a1=2×51,a2=5×81,a3=8×111, then a1,+a2,+a3,+…..a100\mathrm{a}_{1,}+\mathrm{a}_{2,}+\mathrm{a}_{3,}+\ldots . . \mathrm{a}_{100}a1,+a2,+a3,+…..a100 isCAT 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 is