Question

If the sum of three number in AP is 18 .then what is the middle term??

Answer 1

Answer:

Middle term = 6

Step-by-step explanation:

Given :

Sum of three numbers in A.P = 18

To find = Middle Term

Solution :

Let the difference of the terms of A.P. = d

Since we are familiar that the three successive terms of A.P. = a-d , a , a + d

where a is any term of A.P.

Since we are given the sum of three terms = 18

so

( a - d ) + ( a ) + ( a + d ) = 18

( a - d + a + a + d ) = 18

3a = 18

a = 6

Hence middle term a = 6.

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