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Show work and explain with formulas.Find the first four terms of the sequence if a_1 = 9, a_n = 5(a_...
4 months ago
Q:
Show work and explain with formulas.Find the first four terms of the sequence if a_1 = 9, a_n = 5(a_n-1) - 7β
Accepted Solution
A:
Answer: Β [tex]\bold{a_1=9\qquad a_2=38\qquad a_3=183\qquad a_4=908}[/tex]Step-by-step explanation:[tex]a_1=9\qquad a_n=5(a_{n-1})-7\\\\a_2=5(a_1)-7\\.\quad =5(9)-7\\.\quad =45-7\\.\quad =\large\boxed{38}\\\\\\a_3=5(a_2)-7\\.\quad =5(38)-7\\.\quad =190-7\\.\quad =\large\boxed{183}\\\\\\a_4=5(a_3)-7\\.\quad =5(183)-7\\.\quad =915-7\\.\quad =\large\boxed{908}[/tex]