SOLUTION: In the arithmetic Sequence, the 11th term is 72(t(11)=72), and the 27th term is 96 (t(27)=96). A) Find the common Difference (generator). B)Find the initial Value, t(0). C) Writ

Question 549647: In the arithmetic Sequence, the 11th term is 72(t(11)=72), and the 27th term is 96 (t(27)=96).
A) Find the common Difference (generator).
B)Find the initial Value, t(0).
C) Write the rule for this sequence.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The trouble here is that if your 11th term is t(11)=72, your "initial value t(0) is really your 0th term. I call the 11th term , the first term , and I do not acknowledge the existence of an initial value, or term number 0. I'll have to translate my thinking to your way of naming things.
In your way of naming terms:
The common difference is .
There is an initial value , but
the first term is .
The second term is .
The n-th term is .
The 11th term is .
The 27th term is .
So .
But ,
so -->
The common difference is , and
.
So, -->
(And the first term is ).
JUST IN CASE someone whats to read this in my language
In my way of naming terms:
The common difference is .
The first term is .
The second term is .
The third term is .
The n-th term is .
The 11th term is .
The 27th term is .
So .
But ,
so -->
The common difference is
and -->
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