Question

susan wrote the recursive formula for the sequence represented by the exploit formula An=3+2n. put an C net to any correct statements are correct her error

Answer 1

The recursive formula of the explicit formula $A_n = 3 + 2n$ is $A_n = A_{n-1} + 2$

The explicit formula is given as:

$A_n = 3 + 2n$

When n = 1, we have:

$A_1 = 3 + 2(1)$

$A_1 = 5$

When n = 2, we have:

$A_2 = 3 + 2(2)$

$A_2 = 7$

When n = 3, we have:

$A_3 = 3 + 2(3)$

$A_3 = 9$

So, we have:

$A_1 = 5$

$A_2 = 7$

$A_3 = 9$

Rewrite the functions as follows:

$A_1 = 5$

$A_2 = 5 + 2$

$A_3 = 7 + 2$

So, we have:

$A_1 = 5$

$A_2 = A_1 + 2$

$A_3 = A_2 + 2$

Express 2 as 3 - 1

$A_3 = A_{3-1} + 2$

Substitute n for 3

$A_n = A_{n-1} + 2$

Hence, the recursive formula is $A_n = A_{n-1} + 2$

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