The rule for sequence is:
[tex]a_n=0.3+(n-1)(0.6)[/tex]
Step-by-step explanation:
To write the function rule, we have to check first whether it is an arithmetic sequence or geometric sequence
So
We have to find the common difference first. Common difference is the difference between two consecutive terms of a arithmetic sequence.
So,
Here
[tex]a_1=0.3\\a_2=0.9\\a_3=1.5\\a_4=2.1\\d=a_2-a_1=0.9-0.3=0.6\\a_3-a_2=1.5-0.9=0.6[/tex]
The common difference is same so the sequence is an arithmetic sequence.
The explicit formula for an arithmetic sequence is:
[tex]a_n=a_1+(n-1)d\\[/tex]
Putting the values of d and a_1 we get,
[tex]a_n=0.3+(n-1)(0.6)[/tex]
Hence,
The rule for sequence is:
[tex]a_n=0.3+(n-1)(0.6)[/tex]
Keywords: Functions Rule, Arithmetic sequence
Learn more about arithmetic sequence at:
- brainly.com/question/10666510
- brainly.com/question/10699220
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