3 2 4.8. 16. What I have Learned There are (1)_ _ways in finding the general rule or nth term of a given sequence.

Question

3
2
4.8. 16.
What I have Learned
There are (1)_ _ways in 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. (2)
(3)
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)
and/or (5) differences​

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1 month 2021-08-18T13:36:30+00:00 1 Answer 0 views 0

1. 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