New grass seeds grow rapidly. a grass seed has grown to 12 millimeters tall. tomorrow it will be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be 45 millimeters tall. write a rule to represent the height of the bean plant as an arithmetic sequence. how tall will the plant be in 15 days? a(n) = 16 + (n – 1)11; 194 millimeters a(n) = 12 + (n – 1)11; 166 millimeters a(n) = 13n; 195 millimeters a(n) = 12n; 180 millimeters

It is given that:

A grass seed has grown to 12 millimeters tall.

Tomorrow it will  be 23 millimeters tall.

The next day it will be 34 millimeters tall.

and on the next day it will be  45 millimeters tall.

i.e. the first term of the arithmetic sequence is:

We know that the nth term of the sequence is given by:

where d is the common difference of the series.

Here the common difference is:

Here we have the series as follows:

Now, we are asked to find the height of the plant in 15 days.

i.e.  n=15

Hence, we have: