Question

In: Advanced Math

1.Prove the following statements: . (a) If bn is recursively defined by bn =bn−1+3 for all...

1.Prove the following statements:

.

(a) If bn is recursively defined by bn =bn−1+3 for all integers n≥1 and b0 =2,

then bn =3n+2 for all n≥0.

.(b) If cn is recursively defined by cn =3cn−1+1 for all integers n≥1 and c0 =0,

then cn =(3n −1)/2 for all n≥0.

.(c) If dn is recursively defined by d0 = 1, d1 = 4 and dn = 4dn−1 −4dn−2 for all integers n ≥ 2,

then dn =(n+1)2n for all n≥0.

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Expert Solution

Colby Messinger answered 1 year ago
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