Answer: [tex]\bold{a)\quad 51, 54, 57\qquad a_n=a_{n-1}+3}[/tex]
[tex]\bold{b)\quad 250, 625, 1562.5\qquad a_n=(2.5)a_{n-1}}[/tex]
Step-by-step explanation:
a) This is an arithmetic sequence where 3 is added to the previous term.
48 + 3 = 51
51 + 3 = 54
54 + 3 = 57
The recursive formula for this sequence is: [tex]a_n = a_{n-1}+3[/tex]
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b) This is a geometric sequence where 2.5 is multiplied to the previous term.
100(2.5) = 250
250 (2.5) = 625
625(2.5) = 1562.5
The recursive formula for this sequence is: [tex]a_n=(2.5)a_{n-1}[/tex]
