- #1
Niaboc67
- 249
- 3
x+x^2+x^3+x^4... = 14
Find x
Could someone please provide an explanation.
Thank you
Find x
Could someone please provide an explanation.
Thank you
An infinite geometric series is a sum of an infinite number of terms where each term is a multiple of the previous term by a constant ratio.
The formula for finding the sum of an infinite geometric series is S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio.
The common ratio of an infinite geometric series is the ratio between any term and the previous term. It is denoted by the symbol r and is calculated by dividing any term by its previous term.
An infinite geometric series will converge if the absolute value of the common ratio is less than 1. If the absolute value of the common ratio is greater than or equal to 1, the series will diverge.
The common ratio of an infinite geometric series affects the value of the sum. If the absolute value of the common ratio is less than 1, the sum will approach a finite value. If the absolute value of the common ratio is greater than or equal to 1, the sum will approach infinity.