write a function rule to represent the sequence 0.3,0.9,1.5,2.1PLease help

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 sequenceSoWe 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 sequenceLearn more about arithmetic sequence at:brainly.com/question/10666510brainly.com/question/10699220#LearnwithBrainly