Answer: 272
Step-by-step explanation:
Let a1=11
a2=20
a3=29
Formula for sequence=
an=a1+(n-1)d
an = nth term
a1= first term
n= nth position
d= common difference
We are looking for the 30th term,so our n=30
d= a2-a1
d= 20-11
d= 9
Using the formula
an= a1+(n-1)d
a30= 11+(30-1)9
a30= 11+(29)9
a30= 11+(29×9)
a30= 11+261
a30= 272
Therefore, the 30th term is 272
Answer:
w<33/4
Step-by-step explanation:
8w-35<3-(5-4w)
8w-35<3-5+4w
8w-35<-2+4w
8w-4w-35<-2
4w-35<-2
4w<-2+35
4w<33
w<33/4
If you ran 4km in 9 hours.
Then you'll run 24 km's in.
4km per 9 hours
8km per 18 hours.
12km per 26 hours.
16km per 34 hours.
20km per 40.
24km per 46.
The sequence is geometric, so

for some constant r. From this rule, it follows that

and we can determine the first term to be

Now, by substitution we have

and so on down to (D)

(notice how the exponent on r and the subscript on a add up to n)