Grades 7-8 Video Solutions 2023-2023_7-8

Video Transcription

Question 11. Anika wrote down three consecutive whole numbers in increasing order, but instead  of digits she used symbols. So she wrote square, diamond, diamond, then heart, triangle, triangle, and then heart, triangle, square. What would she write next?  So let's write out our numbers in order. Square, diamond, diamond, heart, triangle, triangle,  heart, triangle, square. Now with this, since our first number is square, diamond, diamond, and the one after that is heart, triangle, triangle, we know that heart is bigger than  square. So we can write that out. And with our two numbers, heart, triangle, triangle, and heart, triangle, square, we know that square is larger than triangle.  Now knowing these two, we can write out something like this. Triangle is less than square is less  than heart. So our third number is heart, triangle, square. And we know that heart is greater than  square. So we just need to make a replacement of square with heart, since that would be the  next consecutive number. So we get heart, triangle, heart. And that is indeed our answer, which is E.

Video Summary

Anika used symbols to represent three consecutive whole numbers: square, diamond, diamond; heart, triangle, triangle; and heart, triangle, square. By analyzing these numbers, it's deduced that triangle is the smallest symbol, followed by square, then heart as the largest. To find the next number in the sequence, starting from heart, triangle, square, you replace square with the next symbol larger than square, which is heart. Thus, the next sequence is heart, triangle, heart. This corresponds to option E.

Keywords

symbols

consecutive

sequence

numbers

option E