Question

In a(n) ______sequence the ratio of successive terms is a constant.

Short answer

In a geometricsequence the ratio of successive terms is a constant.

Step-by-step solution

Step 1. Given information.

We have given statement: In a(n) _____sequence the ratio of successive terms is a constant.

• A sequence is an enumerated collection of objects in which repetitions are allowed and order matters .
• A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Step 2. Fill the blanks.

In a geometric sequence the ratio of successive terms is a constant.