Question

On a board measuring 1x100, each square is numbered from
1 to 100. Three colors are used to paint the squares from left
to right. The following pattern is repeated: one blue square,
two red squares, three green squares, one blue, two red,
three green and so on.
What is the highest numbered square that is painted blue?
SUV

Answer 1

Answer:

97

Step-by-step explanation:

Given the following conditions :

board measuring 1x100, each square is numbered from 1 to 100

Three colors are used to paint the squares from left to right in the sequence :

one blue, two reds and three green squares in a repeated pattern.

What is the highest numbered square that is painted blue?

The sequence of painting is repeated after :

(1 + 2 + 3) = 6 successive squares

Since the number of squares = 100

Maximum complete repetition possible :

100 / 6 = 16 remainder 4

Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)

On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.

Hence, the highest numbered square that is painted blue is 97

Answer 2

Patterns are simply the rules that guide the formation of elements in a dataset. The highest numbered square that is painted blue is 97.

The sequence is given as:

$Blue = 1$

$Red = 2$

$Green = 3$

The number of squares is given as:

$n = 100$

First, we calculate the number of complete iteration of the sequence of squares.

$Total = Blue + Red + Green$

$Total = 1+2+3 =6$

So, the complete iteration (k) is:

$k = \frac{n}{Total}$

$k = \frac{100}{6}$

$k = 16.67$

Remove decimal (do not approximate)

$k = 16$

Next, calculate the position of the last element in the iteration.

$Position = k \times Total$

$Position = 16 \times 6$

$Position = 96$

The blue square is the first on each iteration.

So, the highest numbered blue square is:

$Highest = Position + Blue$

$Highest = 96 + 1$

$Highest = 97$

Hence, the highest numbered square that is painted blue is 97.

Read more about patterns at:

https://brainly.com/question/13382968