For the recursive definition, find an explicit formula that represents the same sequence. A (n) = A (n - 1) + 10; A (1) = 12

a. A (n) = 10n + 2

b. A (n) = 10A (n - 1) + 2

c. A (n) = 2n + 10

d. A (n) = 2A (n - 1) + 10

Question

Mathematics

Cali Becker

2 April, 22:01

For the recursive definition, find an explicit formula that represents the same sequence. A (n) = A (n - 1) + 10; A (1) = 12

a. A (n) = 10n + 2

b. A (n) = 10A (n - 1) + 2

c. A (n) = 2n + 10

d. A (n) = 2A (n - 1) + 10

+4

Answers (1)

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Darnell Orozco · Answer 1

Hello:

. A (n) = A (1) + (n-1) d (general term of arithmetic secquence)

d : common difference A (1) : the first term

A (n) = 12 + (n-1) (10) ... A (1) = 12 d = 10

A (n) = 12 + 10n - 10

A (n) = 10n+2 ... (answer : a. A (n) = 10n + 2)

For the recursive definition, find an explicit formula that represents the same sequence. A (n) = A (n - 1) + 10; A (1) = 12a. A (n) = 10n + 2b. A (n) = 10A (n - 1) + 2c. A (n) = 2n + 10d. A (n) = 2A (n - 1) + 10

For the recursive definition, find an explicit formula that represents the same sequence. A (n) = A (n - 1) + 10; A (1) = 12

a. A (n) = 10n + 2

b. A (n) = 10A (n - 1) + 2

c. A (n) = 2n + 10

d. A (n) = 2A (n - 1) + 10