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Back to Write arithmetic and geometric sequences — Problem 5 · Task Set 36

Exercises: Write Arithmetic and Geometric Sequences Recursively and Explicitly

Work through each section in order. For any sequence, always verify your formula by computing the first term.

Grade 9·21 problems·~28 min·Common Core Math - HS Functions·group·hsf-bf-a-2
Work through problems with immediate feedback
A

Fluency Practice

1.

The explicit formula an=7+(n−1)⋅4a_n = 7 + (n-1) \cdot 4 corresponds to a recursive definition with a1=000000a_1 = \text{\hspace{0.2em}\fbox{\phantom{000000}}\hspace{0.2em}} and an=an−1+000000a_n = a_{n-1} + \text{\hspace{0.2em}\fbox{\phantom{000000}}\hspace{0.2em}}.

initial value a₁:
common difference d: