contestada

The first four terms in a sequence, and the rules that define
them, are shown below.
a1 =4
a2 = 2a1 + 3
a3 = 2a2 + 3
a4 = 2a3 + 3
What is the value of a4, the fourth term shown in the
sequence above?
A 35
B 41
C 25
D 53

Respuesta :

Podetola

Answer: D. 53    [tex]a_{4}=53[/tex]

Step-by-step explanation:

[tex]a_{1}=4\\a_{2}=2(a_{1})+3\\a_{3}=2(a_{2})+3\\a_{4}=2(a_{3})+3[/tex]

[tex]a_{2}=2(a_{1})+3\\a_{2}=2(4)+3\\a_{2}=8+3\\a_{2}=11[/tex]

[tex]a_{3}=2(a_{2})+3\\a_{3}=2(11)+3\\a_{3}=22+3\\a_{3}=25[/tex]

[tex]a_{4}=2(a_{3})+3\\a_{4}=2(25)+3\\a_{4}=50+3\\a_{4}=53[/tex]

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