Question

If 9 AM's are inserted between 2 & 3, the general term of i^th AM is

• A. -
• B. 2+
• C. +
• D. 2 -

Answer 1

The correct option is B

2+

Let $A_1$, $A_2$,--------- $A_9$ be AM's inserted

$\Rightarrow$ 2, $A_1$, $A_2$,--------- $A_9$, 3 are in A.P

Let common difference be 'd'

d = $\frac{b-a}{n+1}$

= $\frac{3-2}{10}$

= $\frac{1}{10}$

$A_i$ = a + i(d) = 2 + $\frac{i}{10}$

Now, you know

$A_i$ = 2 + $\frac{i}{10}$