How to find the 1st term, the common difference, and the nth term of the arithmetic sequence described below? (1) 4th term is 11; 10th term is 29 (2) 8th term is 4; 18th term is -96
2 Answers
1)
2)
Explanation:
Let
terms respectively on A.P series.
1)
Multiplying equation (1) by
we get ,
Putting
2)
Subtracting equation (2) from equation (1) we get,
we get,
There are many ways to resolve. One of them is apply definition of general term of an arithemtic sequence
We have
With this pair of values we have enough to determine
We have then
Lets check if this general term works
Now follow the same process to resolve second sequence