Question

Suppose four distinct positive number $a_1,a_2,a_3,a_4$ are in G.P. Let $b_1=a_1,b_2=b_1+a_2,a_3=b_2+a_3$ and $b_4=b_3+a_4$
Statement 1 - The numbers $b_1,b_2,b_3,b_4$ are neither in A.P. nor in G.P.
Statement 2 - The numaber $b_1,b_2,b_3,b_4$ are in H.P.

• A. Both Statement 1 and Statement 2 are correct and Reason is the correct explanation for Assertion
• B. Both Statement 1 and Statement 2 are correct but Statement 2 is not the correct explanation for Assertion
• C. Statement 1 is correct but Statement 2 is incorrect
• D. Both Statement 1 and Statement 2 are incorrect

Answer 1

Answer: (C)

Statement 1 is correct but Statement 2 is incorrect

$b_1=a_1,b_2=b_1+a_2=a_1+a_2$
$b_3=b_2+a_3=a_1+a_2+a_3,b_4=a_1+a_2+a_3+a_4$
Clearly $b_1,b_2,b_3,b_4$ are neither in A.P. nor in G.P. Hence statement - 1 is true.
Also $b_1,b_2,b_3,b_4$ are not in H.P. Hence statement - 2 is false.