For this case we have the following expression:
[tex]b_ {n} = n ^ 2-5[/tex]
We find for each term:
[tex]n = 1:\\b_ {1} = (1) ^ 2-5 = 1-5 = -4\\n = 2:\\b_ {2} = (2) ^ 2-5 = 4-5 = -1\\n = 3:\\b_ {3} = (3) ^ 2-5 = 9-5 = 4\\n = 4:\\b_ {4} = (4) ^ 2-5 = 16-5 = 11\\n = 5:\\b_5 = (5) ^ 2-5 = 25-5 = 20\\n = 6:\\b_ {6} = (6) ^ 2-5 = 36-5 = 31\\n = 7:\\b_ {7} = (7) ^ 2-5 = 49-5 = 44[/tex]
Thus, the seventh term is: 44
Answer:
44
