Question

the sum of 100 arithmatic mean between 1 and 2 will be what ​

Answer 1

The sum of 100 arithmetic means between 1 and 2 = 100 times the single arithmetic mean between 1 and 2

=

$100( \frac{ 1 + 2}{2} ) \\ = 50 \times 3 \\ = 150$

Answer 2

Step-by-step explanation:

x

1

,x

2

,..x

n

, b be is an A.P. of n+2 terms where x

1

,x

2

,...x

n

are n A.M.'s between a and b

Now x

1

+x

2

+x

3

+...+x

n

.

=

2

n

(x

1

+x

n

)=

2

n

(T

2

+T

n+1

)

=

2

n

(a+d+b−d)=n(

2

a+b

)

=n (sngle A.M. of a and b).