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Let an be the sum of the first n triangular numbers, that is, an=∑k=1^n tk, where tk=k(k 1) / 2 . Show that {an} satisfies the linear nonhomogeneous recurrence relation an=an-1 n(n 1) / 2 and the initial condition a1=1 Use Theorem 6 to determine a formula for an by solving this recurrence relation. | Numerade

First-Order Linear Differential Equation | Definition & Examples

17.3: Applications of Second-Order Differential Equations