Asked by KAdila
The first term of an Arithmetic Progression is -4 and the 15th term is double the 5th.
Find the 12th term of the AP
Find the 12th term of the AP
Answers
Answered by
Reiny
Just use your definitions:
"first term of an Arithmetic Progression is -4"
--> a=-4
"the 15th term is double the 5th" ---> a+14d = 2(a+4d)
a + 14d = 2a + 8d
6d = a
6d = -4
d = -2/3
term 12 = a + 11d
= -4 + 11(-2/3)
= -25/3
check: is the 15th term twice the 5th ??
term 15 = -4+14(-2/3) = -40/3
term 5 = -4 + 4(-2/3) = -20/3
YES
"first term of an Arithmetic Progression is -4"
--> a=-4
"the 15th term is double the 5th" ---> a+14d = 2(a+4d)
a + 14d = 2a + 8d
6d = a
6d = -4
d = -2/3
term 12 = a + 11d
= -4 + 11(-2/3)
= -25/3
check: is the 15th term twice the 5th ??
term 15 = -4+14(-2/3) = -40/3
term 5 = -4 + 4(-2/3) = -20/3
YES
Answered by
Malawo
-4+11(-2/3) will not give 25/3 but 34/3. Check that.
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.