Suppose four distinct positive numbers a1, a2, a3, a4 are in GP. Let b1 = a1, b2 = b1 + a2, b3 = b2.+ a3 and b4 = b3 + a4

Question

For the following questions, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows. 

(a) Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I. 

(b) Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I. 

(c) Statement I is true; Statement II is false. 

(d) Statement I is false; Statement II is true.

Suppose four distinct positive numbers a₁, a_2, a₃, a₄ are in GP. Let b₁ = a₁, b₂ = b₁ + a₂, b₃ = b_2.+ a₃ and b₄ = b₃ + a₄ 

Statement I : The numbers b1, b₂, b₃, b₄ are neither in AP nor in GP. and 

Statement II : The numbers b₁, b₂, b₃, b₄ are in HP.

Answer 1

The correct option is (c) Statement I is true; Statement II is false.

Explanation:

Clearly, b₁, b₂, b₃, b₄ are not in HP.

Statement II is false. 

Statement I is already true