CATAlgebra > Mediumn−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 2017 Slot 1If the square of the 777th term of an arithmetic progression with positive common difference equals the product of the 333rd and 171717th terms, then the ratio of the first term to the common difference isCAT 2023 Slot 3Let an=46+8na_n = 46 + 8nan=46+8n and bn=98+4nb_n = 98 + 4nbn=98+4n be two sequences for natural numbers n≤100n \le 100n≤100. Then, the sum of all terms common to both the sequences isCAT 2023 Slot 2Let both the series a1,a2,a3,…a_1, a_2, a_3, \dotsa1,a2,a3,… and b1,b2,b3…b_1, b_2, b_3 \dotsb1,b2,b3… be in arithmetic progression such that the common differences of both the series are prime numbers. If a5=b9a_5 = b_9a5=b9, a19=b19a_{19} = b_{19}a19=b19 and b2=0b_2 = 0b2=0, then a11a_{11}a11 equals