b. The sequences Xt and Yt are such that for t ≥ 0 Xt+1 = 0.3Xt − 0.1Yt − 0.1 3Yt+1 = −Xt + 0.5Yt + 0.8 i. Derive expressions for Xt and Yt ii. Describe the time paths of Xt and Yt. Stating clearly whether they will converge and/or oscillate. If they converge, determine the point(s) of convergence.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.