2019年4月29日 · A geometric sequence has its first term equal to $12$ and its fourth term equal to $-96$. How do I find the common ratio? And find the sum of the first $14$ terms

Limit of the geometric sequence. Ask Question Asked 11 years, 11 months ago. Modified 3 years, 2 months ago.

2016年12月3日 · I am not sure if there is such thing as testing for convergence a geometric sequence, but I have a problem in my book that asks to test for the convergence or divergence of a sequence: $\lim\limits_{n \to \infty} \frac{2^n}{3^{n-1}}$ Can I use the same method used to test a geometric series for this sequence? So rearranging:

2021年11月12日 · I know that in quadratic sequence the second common difference is constant, so I want to apply this idea to geometric sequences, like the second ratio is constant, example : $$ 1, 2, 8 , 64 , 1024 ...

2018年1月16日 · Every time I have come upon a discussion of the geometric sequence, I have often wondered (in vain) about the qualifier 'geometric' since such sources never explained the origin of the term. Natura...

$\begingroup$ a represents the first term in the geometric sequence.n represents the term number. tn represents the value of the term number. Sn represents the sum of the terms from 1 to n. r represents the common ratio between each term. $\endgroup$

2020年12月4日 · link of original discussion of the picture: Combined geometric and arithmetic series partial sum. In this picture, you can see a way of solving combined arithmetic and geometric sequence, however for this equation to work you need to multiply first and then add after. I want to be able to do it the other way around.

Geometric and exponential growth are different. The exponent in geometric sequence formula is always integer. Hence if you plot the sequence you get step-function kind of discrete plot with sudden jumps. The exponent of exponential growth is real number. So we have differential (smooth) and continuous plot for the exponential growth.

2018年7月14日 · I have a geometric series with the first term 8 and a common ratio of -3. The last term of this sequence is 52488. I need to find the sum till the nth term. While calculating the nth term for 5248...

2021年9月20日 · can a geometric sequence have ratio if 1. 0. Is there a specific formula for geometric sequences? 1.