4, x , 23, y are 4 consecutive term of AP . find x and y
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Answered by
1
Answer:
Step-by-step explanation:
Here,
a1 = 4
a2 = x …(1)
a3 = 23
a4 = y
...
We know that there must be common difference between every two terms of an A.P.
d = a2 - a1 = a3 - a2 = a4 - a3
So,
x - 4 = 23 - x
x+x = 23 + 4
2x = 27
x = 27/2 …(2)
Also,
a3 - a2 = a4 - a3 = d
From (1) & (2)
23 - 27/2 = y - 23
y = 23 + 23 -27/2
y = 46 - 27/2
y = (92-27)/2
y = 65/2
Thus, x = 27/2 & y = 65/2
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Answer:
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