SOLUTION: The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?
Algebra.Com
Question 979756: The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
= + = 9,
= + = -84.
Now distract the first equation from the second one. You will get
= - ,
= .
Thus = .
This is the common difference of the given arithmetic progression.
Next, = + = + = + = + = - = - = - = .
Answer. = -53.
RELATED QUESTIONS
The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd... (answered by Fombitz)
The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd... (answered by stanbon,rothauserc)
In an arithmetic sequence, the 23rd term is 2, and the 38th term is 3. What is the 41st... (answered by greenestamps,math_tutor2020,ikleyn)
What is the 32nd term of the arithmetic sequence where a1 = 4 and a6 = 39... (answered by stanbon)
If the first term of an arithmetic sequence is 4 and the third term is 18, what is the... (answered by reviewermath)
The twenty-third term in an arithmetic sequence is 2/3 and the fifty-third term in the... (answered by robertb)
The fifth term of an arithmetic sequence is 41 and the twelfth term is 20. Determine the... (answered by josgarithmetic)
... (answered by josgarithmetic)
The 3rd term of an arithmetic sequence is 12 and its 7th term is 32, what is its 11th... (answered by Boreal)