Arithmetic Sequences – Formula for the ‘n-th’ Term with Step-by-Step Examples
In this video, I derive the formula to find the n-th term of an arithmetic sequence. Through clear examples, we explore how to determine the general term of a sequence, and I demonstrate step-by-step how to apply this formula in solving different types of problems.
What’s covered:
Deriving the n-th term formula: a_n = a_1 + (n-1)d
Understanding important terminology such as the first term, common difference, and general sequence notation.
A complete example where we are given that a_8 = 25 and a_14 = 43 and must find the general formula for a_n.
This video is perfect for anyone studying sequences, preparing for exams, or just looking to deepen their understanding of arithmetic sequences. With clear, straightforward explanations, you’ll master the process of finding the n-th term in no time!
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