likemey
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

A sequence of patterns uses grey squares and white squares here are the first four patterns workout the total number of squares in pattern 100 3 marks

A Sequence Of Patterns Uses Grey Squares And White Squares Here Are The First Four Patterns Workout The Total Number Of Squares In Pattern 100 3 Marks class=

Sagot :

Answer:

100

Step-by-step explanation:

if pattern 1 has 1 shade, pattern 2 has 2 shades, pattern 3 has 3 shades, and so on... therefore, pattern 100 has 100 shades of grey.

Total number of squares in pattern 100 is 303.

What is a square pattern?

Square pattern represents squares stacked on top of each other to achieve a unique pattern.

Let the number of squares in the pattern  n is [tex]p_{n}[/tex] then we know

[tex]P_{n+1}-P_{n}=3, P_{1}=6[/tex]

So, [tex](P_{n}-P_{n-1})+(P_{n-1}-P_{n-2})+.......+(P_{2}-P_{1})=3 \times (n-1) = 3n - 3[/tex]

Which is [tex]P_{n}-P_{1} =3n-3[/tex]

So, [tex]P_{n}-6=3n-3[/tex]

[tex]P_{n} =3n+3[/tex]

So, [tex]P_{100} =3 \times 100+3[/tex]

[tex]P_{100} =300 +3[/tex]

[tex]P_{100} =303[/tex]

Total number of squares in pattern 100 is 303.

Find out more information square pattern here

https://brainly.com/question/16977578

#SPJ2

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.