If the first 3 terms of an infinite geometric sequence are 90, 22.5, and 5.625, then the sum of all the terms in the sequence is ______.

Question

If the first 3 terms of an infinite geometric sequence are 90, 22.5, and 5.625, then the sum of all the terms in the sequence is ______.
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

The sum of an infinite geometric sequence can be found using the formula S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio.

Step 1: Identify the first term (a) and the common ratio (r). The first term (a) is 90. The common ratio (r) can be found by dividing the second term by Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

If the first 3 terms of an infinite geometric sequence are 90, 22.5, and 5.625, then the sum of all the terms in the sequence is ______.

The sum of the first 3 terms of a geometric series is 26. The sum of the first 6 terms is 728. Find the first term and common ratio.

Find the sum of the infinite geometric series, with first term 1 and common ratio 1/2Choices:- -2 2 0 -1

In an ascending geometric sequence, (𝑎5)2=3𝑎10, and for any three consecutive terms, 2(𝑎𝑛+𝑎𝑛+2)=5𝑎𝑛+1. Find the first term of the geometric sequence.

Determine the no. of terms in the geometric sequence {81, 27, 9 …...1/81} Also find their associated sum.

1/3