Question

Suppose four distinct positive numbers $a_1,a_2,a_3,a_4$ are in G.P. Let $b_1=a_1,b_2=b_1+a_2,b_3=b_2+a_3$ 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 $G.P$.
and
STATEMENT-2 : The numbers $b_1,b_2,b_3,b_4$ are in $H.P$.

• A. STATEMENT−1 is True, STATEMENT−2 is True; STATEMENT−2 is a correct explanation for STATEMENT−1
• B. STATEMENT−1 is True, STATEMENT−2 is True; STATEMENT−2 is NOT a correct explanation for STATEMENT−1.
• C. STATEMENT−1 is True, STATEMENT−2 is False
• D. STATEMENT−1 is False, STATEMENT−2 is True

Answer 1

Answer: (C)

$b_1=a_1,b_2=a_1+a_2,b_3=a_1+a_2+a_3,b_4=a_1+a_2+a_3+a_4$
Hence $b_1,b_2,b_3,b_4$ are neither in $A.P.$ nor in $G.P$. nor in $H.P$.