Question

After inserting n A. Ms between 2 and 38, the sum of the resulting progression is 200. The value of n is (a) 10 (b) 8 (c) 9 (d) none of these

Answer 1

Given :   n AMs inserted between 2 and 38, sum of the resulting progression is 200.

To find : The value of n

Step-by-step explanation:

inserting n AMs between 2 and 38

=> Total Term = n + 2    

First term = 2

Last term = 38

Sum = (number of terms/2) ( First term + last term)

= ((n + 2)/ 2) ( 2 + 38)

= 20n + 40

20n + 40 = 200

=> 20n = 160

=> n =  8

option b is correct

Term would be  2 ,  6 , 10 , 14 , 18  , 22 , 26  , 30 , 34 , 38

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