Patterns in a table
This is part of a table of values of 3S2 + T2. Values of S are down the lefthand side and values of T are along the top. Values in the middle show the evaluation of the expression 3S2 + T2 using the values of S and T from the corresponding rows and columns. Expand the table to larger values of S and T and investigate any patterns you can find.

T 
1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
S 
1 
4 
7 
12 
19 
28 
39 
52 
67 
84 
103 
124 
147 
172 
2 
13 
16 
21 
28 
37 
48 
61 
76 
93 
112 
133 
156 
181 
3 
28 
31 
36 
43 
52 
63 
76 
91 
108 
127 
148 
171 
196 
4 
49 
52 
57 
64 
73 
84 
97 
112 
129 
148 
169 
192 
217 
5 
76 
79 
84 
91 
100 
111 
124 
139 
156 
175 
196 
219 
244 
6 
109 
112 
117 
124 
133 
144 
157 
172 
189 
208 
229 
252 
277 
7 
148 
151 
156 
163 
172 
183 
196 
211 
228 
247 
268 
291 
316 


Related External Resources 
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