Use iteration to guess an explicit formula for the recursively defined sequence and make use of a formula for the sum of a geometric sequence to simplify the answer. co=4 and ck=5ck-1+2, for every integer k≥1

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**Problem 6:** Use iteration to guess an explicit formula for the recursively defined sequence and make use of a formula for the sum of a geometric sequence to simplify the answer.

\[ c_0 = 4 \]
\[ c_k = 5c_{k-1} + 2, \text{ for every integer } k \geq 1 \]
Transcribed Image Text:**Problem 6:** Use iteration to guess an explicit formula for the recursively defined sequence and make use of a formula for the sum of a geometric sequence to simplify the answer. \[ c_0 = 4 \] \[ c_k = 5c_{k-1} + 2, \text{ for every integer } k \geq 1 \]
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