Question

The geometric progression which have infinite term is called

Answer 1

Hint: Here we just have to name what the geometric progression with infinite terms is called. This or similar question like this can be asked for multiple choice questions where you will need the basic knowledge of the topics in question.

Complete step-by-step answer:
A geometric progression which has an infinite term is called an infinite geometric progression.
A sequence is called an infinite geometric progression if the sequence has an infinite amount of terms in it and the terms are in geometric progression. For example this geometric progression or sequence can be called to be an infinite geometric progression
\[2,4,8,16,32......\]
Here we can see that the first time also known as a is ; \[a=2\]
We can also see that the common ratio also known as r here is ; \[r=2\]
And also there being infinite amount of terms in the series therefore telling and proving to us that this is an infinite geometric progression

Note: Now we can say that sequences which can also be called a progression are ordered pairs of numbers they could be either finite or also infinite in cases, they are such that each term of the sequence of progression can be indexed with some meaning. This means that you can express any term in a sequence or a progression in the form of algebraic function in the terms of its position in the given sequence or progression
Algebraic progression is a sequence of numbers in which the difference between any two consecutive numbers is always constant.
Now geometric progression can be explained as a sequence of numbers where there is always a common ratio in between the number and the number before it.