Respuesta :
The first term of an arithmetic sequence is 5. the eleventh term is 125. what is the common difference of the arithemetic sequence?
(1,5);(11,125)
Rate of change=change in y/change in x
=125-5/11-1=120/10=12
☆☆☆☆☆common difference of the arithemetic sequence is 12
(1,5);(11,125)
Rate of change=change in y/change in x
=125-5/11-1=120/10=12
☆☆☆☆☆common difference of the arithemetic sequence is 12
Answer:
d=12
Step-by-step explanation:
The first term of an arithmetic sequence is i.e. a = 5
We are given that eleventh term is 125
Formula of nth term = [tex]a_n=a+(n-1)d[/tex]
Where a is the first term
n is the term no.
d is the common difference
Substitute n = 11
[tex]a_{11}=5+(11-1)d[/tex]
[tex]125=5+(11-1)d[/tex]
[tex]120=10d[/tex]
[tex]12=d[/tex]
Hence The common difference of the arithmetic sequence is 12