Question

Consider a decreasing G.P. : $g _1, g _2, g _3, \ldots \ldots g _{ n } \ldots . . . s$ such that $g _1+ g _2+ g _3=13$ and $g _1^2+ g _2^2+ g _3^2=91$ then which of the following does not hold?

• A. The greatest term of the G.P. is 9 .
• B. $3 g_4=g_3$
• C. $g _1=1$
• D. $g _2=3$

Answer 1

Answer: (C)

G.P. : $\frac{ a }{ r }, a , ar$,
$a =3$ and $r =\frac{1}{3}$ or 3 (rejected)
G.P. is $9,3,1, \frac{1}{3}, \ldots \ldots . \Rightarrow C$ is not correct.