Asked by James
If the 16th term of an arithmetic sequence is three times the fourth term, find the ratio of the 23rd term to the third term.
Answers
Answered by
Reiny
translate from English to Math
"If the 16th term of an arithmetic sequence is three times the fourth term"
--->a+15d = 3(a+3d)
a+15d = 3a+3d
12d = 2a
a = 6d
term 23 = a+22d = 6d+22d = 28d
term 3 = a + 2d = 6d + 2d = 8d
term23 : term3 = 28d : 8d
= 28 : 8
= 7 : 2
"If the 16th term of an arithmetic sequence is three times the fourth term"
--->a+15d = 3(a+3d)
a+15d = 3a+3d
12d = 2a
a = 6d
term 23 = a+22d = 6d+22d = 28d
term 3 = a + 2d = 6d + 2d = 8d
term23 : term3 = 28d : 8d
= 28 : 8
= 7 : 2
Answered by
Lolly
isn't it supposed to be 3a + 9d?
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.