Solution: Prove each of the statements in 3540, assuming n is an integer variable that
Chapter 11, Problem 37(choose chapter or problem)
Prove each of the statements in 35-40, assuming n is an integer variable that takes positive integer values. Use identities from Section 5.2 as needed.
\(2+2 \cdot 3^{2}+2 \cdot 3^{4}+\cdots+2 \cdot 3^{2 n}\) is \(\Theta\left(3^{2 n}\right)\).
Text Transcription:
2+2 dot 3^2+2 dot 3^4+dots+2 dot 3^2 n
Theta(3^2 n)
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