This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number.
We know a=1 and d=7 so:
a(n)=1+7(n-1)
a(n)=1+7n-7
a(n)=7n-6
The above is the "rule" for the nth term.

(We know this from a=1/9 and r=3)
Simplifying this, we get:

Since we're finding the first term that exceeds 1000, let's set it equal to 1000.

Multiplying both sides by 27


n≈9.2
We have to round n up, since if n=9, the value would be <1000.
Therefore n=10. Substituting n=10,

=2187
Therefore the first term that exceeds 1000 is 2187, and it is the 10th term
Answer:
(x, y)=(301 43)
( ---- , ---)
( 29 29)
Step-by-step explanation:
Answer:
4 1/2
Step-by-step explanation:
each lap is 1 3/8 times that by 3
3/8 * 3 = 1.125
1* 3 = 3
so would be 4.125