Randy had a sheep that started eating more and more as each day passed.On July 1,Randy’s sheep ate 5 carrots. On July 2,Randy’s sheep ate 11 carrots. On July 3, the sheep ate 18 carrots. How many carrots will the hungry sheep eat on July 30th?

To find out how many carrots the sheep will eat on July 30th, we can analyze the pattern of the number of carrots eaten by the sheep each day.

If we look at the number of carrots eaten on each day, we can see that the number of carrots eaten is increasing by 6 each day.

So, to find out how many carrots the sheep will eat on July 30th, we need to find the number of terms between July 1st and July 30th, and then multiply that by 6.

To find the number of terms, we can subtract the starting day (July 1st) from the ending day (July 30th), and add 1 because we are including both the starting and ending days.

July 30th - July 1st + 1 = 30 - 1 + 1 = 30

Now we know that there are 30 terms between July 1st and July 30th.

Next, we can multiply the number of terms by 6 to find out how many carrots the sheep will eat on July 30th.

30 * 6 = 180

Therefore, the hungry sheep will eat 180 carrots on July 30th.