What new realizations do you have about finding the nth term of the arith-metic sequence and finding the arithmetic means? How would you use this in making decisions?
Answers
nth term of the arith-metic sequence = a + (n-1)d
Step-by-step explanation:
There are MANY ways on finding the general rule or nth term of a given sequence. As I go through this topic. I learned that different sequences can be solve by/using. 2Arithmetic Sequence
. 3.Geometric Sequence
I realized that when finding the nth term of a sequence that can't be easily determined by inspection we need to find its 4. Common Ratio and/or Common differences.
nth term of the arithmetic sequence = a + (n-1)d
a = first term
n = number of term
d = common difference
Mean of n terms of arithmetic sequence = (1st term + nth term )/2
the arithmetic means of arithmetic sequence
= Middle term if total terms are odds
= Mean of middle two terms if total terms are odd
We can make series like this if we know mean & number of term
......., a - d , a , a + d ........ odd number of terms and a is mean
......... a-3d , a - d , a + d , a + 3d ........even number of terms and a is mean
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