what is the ratio of 110/100Infinite geometric series ​

110/100 simplifies to:- Divide both numerator and denominator by 10: $$ \frac{110}{100} = \frac{11}{10} $$✅ So, the ratio is 11:10.Now, if you’re looking to use this ratio as the common ratio in an infinite geometric series, here’s what you need to know: Infinite geometric series only converge (i.e., have a finite sum) when the common ratio \( r \) satisfies:$$|r| < 1$$But in this case:- \( r = \frac{11}{10} = 1.1 \)- Since \( 1.1 > 1 \), the series diverges, meaning it does not have a finite sum. However, if you're just building a geometric sequence with 11/10 as the multiplier, it can still grow exponentially—like this:- First term: 1 - Second term: 1 × 11/10 = 1.1 - Third term: 1.1 × 11/10 = 1.21 - ...and so on.

Answered by maeangeliquealtas | 2025-07-24