Solve a0 = 1, and an = 2an-1 + 1 for n ≥ 1 using the characteristic equation method. hint: try an = a, a constant, to find a particular solution.

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Mathematics

Jonah Davila

15 June, 00:13

Solve a0 = 1, and an = 2an-1 + 1 for n ≥ 1 using the characteristic equation method. hint: try an = a, a constant, to find a particular solution.

+4

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Craig Whitaker · Answer 1

Given that an=2an-1, to solve for a0=1, we substitute the value of a0 in the equation as follows:

a0=2*1-1+1

a0=2-1+1

a0=3-1

a0=2

the answer is 2