Bean sprouts grow very quickly. A bean sprout has grown to a height of 5 millimetrs. Tomorrow it will be 14 millimeters tall, the next day it will be 23 millimeters tall, and on the next day it will be 32 millimeters tall.

Question

Part 1) Write a rule to represent the height of the bean sprout as an arithmetic sequence.

(1 point)
Responses

A(n) = 5 + (n - 1) 9
A(n) = 5 + (n - 1) 9

A(n) = 14 + (n - 1)9
A(n) = 14 + (n - 1)9

A(n) = 5 - (n - 1)9
A(n) = 5 - (n - 1)9

A(n) = 9n
A(n) = 9n

A(n) = 9 + (n + 1)5

Part 2) How tall will the bean sprout be in 12 days?

Answer 1

Part 1) The correct rule to represent the height of the bean sprout as an arithmetic sequence is:

A(n) = 5 + (n - 1)9

Part 2) To find the height of the bean sprout in 12 days, we can substitute n = 12 in the rule:

A(12) = 5 + (12 - 1)9 = 5 + 11 * 9 = 5 + 99 = 104

Therefore, the bean sprout will be 104 millimeters tall in 12 days.