CATAlgebra > Hardy,x\mathrm{y}, \mathrm{x}y,x and z are in arithmetic progressionx,yx, \mathrm{y}x,y and zzz are in geometric progressionx,z\sqrt{\mathrm{x}}, \sqrt{\mathrm{z}}x,z and y\sqrt{\mathrm{y}}y are in arithmetic progressionx,z\sqrt{\mathrm{x}}, \sqrt{\mathrm{z}}x,z and z\sqrt{\mathrm{z}}z are in arithmetic progression✅ Correct Option: 1Related questions:CAT 2019 Slot 1If the population of a town is ppp in the beginning of any year then it becomes 3+2p3+2 p3+2p in the beginning of the next year. If the population in the beginning of 201920192019 is 100010001000 then the population in the beginning of 203420342034 will beCAT 2018 Slot 2Let t1,t2,…t_1, t_2, \dotst1,t2,… be real numbers such that t1+t2+⋯+tn=2n2+9n+13t_1 + t_2 +\dots+ t_n = 2n^2 + 9n + 13t1+t2+⋯+tn=2n2+9n+13, for every positive integer n≥2n\ge2n≥2. If tk=103t_k =103tk=103, then kkk equalsCAT 2023 Slot 1A lab experiment measures the number of organisms at 888 am every day. Starting with 222 organisms on the first day, the number of organisms on any day is equal to 333 more than twice the number on the previous day. If the number of organisms on nth day exceeds one million, then the lowest possible value of nnn is