# $$3^{n-1}$$ Terms in a Group

Algebra Level 1

Consider a group sequence of positive integers $(1),(2,3,4),(5,6,7,8,9,10,11,12,13), \dots,$ where the $$n ^{\text{th}}$$ group has $$3^{n-1}$$ terms in it. If $$1068$$ is the $$b^{\text{th}}$$ term of the $$a^{\text{th}}$$ group, what is $$a+b$$?

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