contestada

The explicit rule for a sequence is

an=48−11n .



What is the recursive rule for the sequence?




an=an−1+37,a1=11

an=an−1−11,a1=37

an=an+1−11,a1=37

an=an−1−37,a1=11

The explicit rule for a sequence is an4811n What is the recursive rule for the sequence anan137a111 anan111a137 anan111a137 anan137a111 class=

Respuesta :

susanwiederspan
For an explicit formula in its simplified form, we must evaluate the first two terms.

For [tex]a_n=48-11n[/tex], [tex]a_1=48-11=37[/tex], and [tex]a_2=48-22=26[/tex]. We see that the common difference is [tex]37-26=-11[/tex], and [tex]a_1=37[/tex], so we write,
[tex]a_1=37, \ \ \ a_n=a(n-1)-11[/tex]. 

The correct answer is B.
the rule should be a(n)=a(1)+(n-1)d
d=-11 in this case, so a(n)=a(1)-11(n-1)
a(n)=a(1)-11n+11
a(n)=a(1)+11-11n
a(1)+11=48, 
a(1)=37
B is the correct answer. 

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