Answer:
A linear sequence
Step-by-step explanation:
In this sequence, the difference between the first two terms is 70−35=35 , we can check this is correct by finding the difference between the 2nd and 3rd terms, which is 105−70=35 . This means the first difference is 35.
The first difference gives us the number we multiply n by, or the quotient of n.
This means we get the nth term as 35n+c .
To get c , we check the difference between the first term and the number we get when we multiply n by 35 , when n=1 .
This gives us:
35n+c=35
c=35−35n
c=35−35(1)
c=35−35
c=0
Once we have c , we get the nth term of 35,70,105 to be 35n .
