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The correct answer is Geometric sequence, Fibonacci sequence, and Arithmetic sequence. I just turned my class where I had this question and my teacher said I got them right. hoped this helped :)
Geometric sequence, Fibonacci sequence and Arithmetic sequence are recursive sequence
What is recursive sequence?
A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given
What is geometric sequence?
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.
What is Fibonacci sequence?
The Fibonacci sequence, in which each number is the sum of the two preceding ones.
What is arithmetic sequence?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant
What is Exponential sequence?
It function in which a base number is multiplied with a variable exponent to achieve a sequence.
We know that,
A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given.
In geometric sequence, each term after the first is found by multiplying the previous one by a fixed, non-zero number. Therefore it is a recursive sequence
In Fibonacci sequence, each number is the sum of the two preceding ones. Therefore it is a recursive sequence
In arithmetic sequence, sequence of numbers such that the difference between the consecutive terms is constant. so terms are defined using previous terms. Therefore it is a recursive sequence
In Exponential sequence, sequence in which terms are not defined using one or more previous terms which are given. Therefore it is not a recursive sequence
Hence, Geometric sequence, Fibonacci sequence and arithmetic sequence are recursive sequence
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