Question

These are the first four terms of a sequence.

Answer 1

Answer:

F(x)= 5+3(n-1)

Step-by-step explanation:

5 represents term 1. +3 is demonstrating what you do in the pattern for every resulting number. you multiply by (n-1) because 5+3 already demonstrates the next term, so you subtract the term number by 1

Answer 2

Answer:

2+3n

Step-by-step explanation:

This question is based on a topic called sequence and series,under which we have the arithmetic progression

The formula for arithmetic progression is a+(n-1)d

In which a is the first number,n is the nth term and d is the difference

Back to the question

a=5,n=it's not given,d=3

Using the general formula

a+(n-1)d

5+(n-1)3

Open the bracket first

5+3n-3

Collect like terms

5-3+3n

2+3n

The answer is 2+3n

And it can be solved further only if we are given the value of n...the question even stated that we should solve in terms of n

Therefore the answer is 2+3n