Does the table below represent a proportional relationship? Show your work to prove
1 answer:
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Question:
If The 3rd term of an A.S 23 is and 5th term is 15 .P What is an A.?
Answer:
A.P is 31, 27, 23 ,19, 15, 11, 7, 3
Step-by-step explanation:
Given:
3rd term = 23
5th term = 15
To Find:
The arithmetic Progression = ?
Solution:
Let
be the first term and d be difference
Then the arithmetic progression will be ,
From the question ,
third term = 13
-------------(1)
Similarly
-----------------(2)
Subtracting (1) from (2) we get
-2d =8
d = -4
Substituting d = 4 in equation 1, we get
= 31 ,(31 +(-4)) ,(31 +2(-4)), (31+3(-4)).........
=> 31, 27, 23 , 19, 15, 11,7,3