Asked by Anonymous
in an arthmetic progression or series,the 13th term is 27 and the 7th iterm is 3 times the 2nd term ,find first term the common difference the sum of rhe squence
Answers
Answered by
Reiny
13th term is 27 --- a + 12d = 27
the 7th iterm is 3 times the 2nd term --> a+6d = 3(a+d)
or
a+6d = 3a + 3d
2a = 3d
a = 3d/2
sub into the first equation
3d/2 + 12d = 27
3d+24d=54
d = 2
then a = 3(2)/2 = 3
I will let you finish it for the sum, you did not say how many terms you want to add.
the 7th iterm is 3 times the 2nd term --> a+6d = 3(a+d)
or
a+6d = 3a + 3d
2a = 3d
a = 3d/2
sub into the first equation
3d/2 + 12d = 27
3d+24d=54
d = 2
then a = 3(2)/2 = 3
I will let you finish it for the sum, you did not say how many terms you want to add.
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.