Which sequence matches the recursive formula? #a_n = 2a_(n-1) + 5#, where #a_1 = 5# A) 5, 10, 15, 20, ... B) 5, 15, 35, 75, ... C) 5, 15, 25, 35, ... D) 5, 20, 35, 50, ...
1 Answer
May 10, 2016
B)
Explanation:
#a_1 = bb(5)#
#a_2 = 2a_1+5 = 2*5+5 = bb(15)#
#a_3 = 2a_2+5 = 2*15+5 = bb(35)#
#a_4 = 2a_3+5 = 2*35+5 = bb(75)#