Please help, thank you! Match the sequence and recursive expression to its explicit expression. f(n) = 2n + 10

{2, 4, 6, 8...} ...} f(1) = 2 and f(n) = f(n - 1) + 2 for n >

{12, 14, 16, 18...} f(1) = 12 and f(n) = f(n - 1) + 2 for n > 1

Given:

To find:

The sequence and recursive expression to the given explicit expression.

Solution:

We have,

For n=1,

The value of f(1) is 12.

Similarly,

For n=2,

For n=3,

For n=4,

The required sequence is {12,14,16,18,...}.

The recursive expression of an AP is

where, d is common difference.

Here d=2,

Therefore, the recursive expression is .

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step-by-step explanation: