Write The First Three Terms Of The Sequence Calculator

Understanding the first few terms of a geometric sequence is crucial in various fields, from finance to physics. Our calculator simplifies this process, making it accessible to everyone.

1. Enter the first term (a) and the common ratio (r) of your sequence.
2. Click the ‘Calculate’ button.
3. View the results and sequence visualization below.

The formula for the nth term of a geometric sequence is a * r^(n-1), where a is the first term, r is the common ratio, and n is the term number.

Comparison of Sequence Growth with Different Common Ratios

Common Ratio (r)	Term Number (n)	Term Value

• Understanding the common ratio is key to predicting sequence behavior.
• For r = 1, the sequence is constant. For r > 1, it grows. For 0 < r < 1, it decays.

What is a geometric sequence?

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the ratio.

For more information, see these authoritative sources:

• Maths is Fun: Geometric Sequences
• Khan Academy: Arithmetic and Geometric Sequences