CATAlgebra > Hard−2-2−2666222−4-4−4✅ Correct Option: 1Related questions:CAT 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 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 2022 Slot 2The average of a non-decreasing sequence of NNN numbers a1,a2,…,aNa_{1}, a_{2}, \ldots, a_{N}a1,a2,…,aN is 300300300. If a1a_{1}a1 is replaced by 6a16 a_{1}6a1, the new average becomes 400400400. Then, the number of possible values of a1a_{1}a1 is