Question

The sum of three numbers in AP is 15, then the middle number is ______​

Answer 1

$\huge\mathfrak\red{Answer}$

Answer: The required A.P or numbers are 3,5,7 or 7,5,3. Step-by-step explanation: Given : The sum of 3 numbers in A.P is 15 and sum of squares of the extreme terms is 58.

Hope this helps you

Answer 2

The sum of three numbers in AP is 15, then the middle number is 5

Given :

The sum of three numbers in AP is 15

To find :

The middle number

Solution :

Step 1 of 2 :

Assume the three numbers

Here it is given that three numbers are in AP

Let the numbers are a - d , a , a + d

Step 2 of 2 :

Find the middle number

It is given that sum of three numbers is 15

So we have

a - d + a + a + d = 15

⇒ 3a = 15

⇒ a = 15/3

⇒ a = 5

Hence the middle number = a = 5

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