[Solved] If K+1 2k-1 3k+1 Are Three Consecutive Terms Of Geometric Progression, Find The Possible Values Of The Common Ratio

Given the three terms of the GP: �+1,2�−1,3�+1K+1,2K−1,3K+1 Step 1: Find the ratio using the first two terms: �=2�−1�+1r=K+12K−1​ Step 2: Find the ratio using the last two terms: �=3�+12�−1r=2K−13K+1​ Step 3: Equate the two expressions for �r: 2�−1�+1=3�+12�−1K+12K−1​=2K−13K+1​ Now, let’s solve for �K in this equation. Finished working Show work The simplified solutions for…