Asked by unknown
The 6th term of an arithmetic sequence is x while
the 11th is y find the 1st 2 terms
Answers
Answered by
Reiny
a+5d = x
a+10d = y
subtract them
5d = y-x
d = (y-x)/5
and
a + 5(y-x)/5 = x
a + y - x = x
a = 2x - y
first two terms are:
t1 = 2x-y
t2 = 2x-y + (y-x)/5 = (10x - 5y + y-x)/5
= (9x - 6y)/5
a+10d = y
subtract them
5d = y-x
d = (y-x)/5
and
a + 5(y-x)/5 = x
a + y - x = x
a = 2x - y
first two terms are:
t1 = 2x-y
t2 = 2x-y + (y-x)/5 = (10x - 5y + y-x)/5
= (9x - 6y)/5
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.