L Patterns
This task is about continuing a spatial pattern and finding the rule.
Suli is playing with counters, making letter Ls of various sizes, like this:
a) 
Complete this table, giving the total number of counters in letter Ls of different sizes:


b)

How many counters in total would be needed to make a letter L that is ...



i) ii) iii)

10 counters high? __________ counters
16 counters high? __________ counters 37 counters high? __________ counters 

c) 
Explain or write a rule that describes how to work out the total number of counters needed from the height of an Lshape.


d) 
If the total number of counters was 40, how many counters high would the letter L be? ____________ counters 