find an explicit formula from a recursive sequence

I would to show you a general strategy for figuring out an explicit formula when we are given a sequence defined recursively. Solving linear recurrence relations is usually taught in discrete math but we are seeing an introduction in precalculus. This method of finding an explicit formula from a recursive sequence should be what you should try first!

0:00 geometric sequence a_n=2a_(n-1)
2:56 arithematic sequence a_n=a_(n-1)+3
5:20 "both" a_n=2a_(n-1)+3

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"Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence test, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos 👉 https://bit.ly/just_calc
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