The discussion revolves around determining whether the sequence defined by the formula An = 2 + 6n is an arithmetic sequence. Participants explore the characteristics of arithmetic sequences and calculate the first five terms of the series.
There is no explicit consensus on the arithmetic nature of the sequence until the final calculation is presented. Some participants express uncertainty about the difference between terms.
Participants rely on the definition of arithmetic sequences and the specific formula provided. There is an assumption that the calculations are correct, but earlier uncertainty about the difference indicates potential for misunderstanding.
Students learning about sequences and series, particularly those studying arithmetic sequences in a mathematics context.
fluffertoes said:Question:
Find the first 5 terms of this series and determine if it is an arithmetic sequence.
An= 2 + 6n
Help please!
MarkFL said:If we have an AP, then we must have:
$$a_{n+1}-a_{n}=C$$ where C is some constant...is this what we have?
fluffertoes said:All the info i was given is what I put in the original question up there, yikes
MarkFL said:We are given:
$$a_{n}=2+6n$$
Therefore:
$$a_{n+1}=2+6(n+1)$$
So, what is the difference:
$$a_{n+1}-a_{n}$$ ?
fluffertoes said:1? I'm not sure