# If the (a+1)th ,7th ,and (b+1)th terms of an A.P, are in G.P with a,6,b being in H.P, then the 4th term of this A.P is ? (A) -7/2 (B) 7/2 (C) 0 (D) 3

##### 1 Answer

**(C) 0.**

#### Explanation:

For the **AP in Question,** suppose the **term** and

the **common difference** are , resp.,

If

Given that, **GP.**

**GP.**

Dividing by

Here, **HP,** or,

Sub.ing in

In case,

Solving these for

But, in that event,

So, let us **discard that possibility.**

We are now left with **in fact,**

Hence, the **Right Option** is **(C) 0.**

**Enjoy Maths!**