Answer:
36
Step-by-step explanation:
The difference between the first and second layer is 3, then 5, then 7, then 9, so you can deduce the next one will be 11.
25+11=36
Answer:
The number of blocks in sixth layer would be 36.
Step-by-step explanation:
The number of blocks from the top layer to the fifth layer are: [tex]1, 4, 9, 16, 25[/tex]
The difference between the consecutive numbers are....
[tex]4-1=3\\ \\ 9-4=5\\ \\ 16-9=7\\ \\ 25-16=9[/tex]
These differences make an arithmetic sequence as [tex]3, 5, 7, 9,....[/tex] with common difference of [tex]2[/tex].
That means, the next term in this arithmetic sequence will be: [tex]9+2=11[/tex]
So, the sixth layer will have [tex]11[/tex] more blocks than the fifth layer.
Thus, the number of blocks in sixth layer [tex]= 25+11= 36[/tex]
