You visited us 1 times! Enjoying our articles? Unlock Full Access!

nth Term of A.P

If log10 a,...

Question

If $l o g_{10} a, l o g_{10}, l o g_{10} c$ are in A.P., then $a, b, c$ must be in

A.P.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

G.P.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

H.P.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B G.P.
If $l o g_{10} a, l o g_{10} b, l o g_{10} c$ are in A.P., then

$2 l o g_{10} b = l o g_{10} a + l o g_{10} c$

$l o g_{10} b^{2} = l o g_{10} a c$

$b^{2} = a c$ , this is the condition for variables to be in G.P.

Suggest Corrections

Similar questions

{log}_{10} a, {log}_{10} b, {log}_{10} c

a, b, c

{log}_{10} a, x, {log}_{10} \frac{a^{3}}{b^{2}}

x

t_{1} = {log}_{10} a

t_{n + 1} = {log}_{10} b

t_{2 n + 1} = {log}_{10} c

a, b, c

\frac{{log}_{10} a}{12} = \frac{{log}_{10} b}{21} = \frac{{log}_{10} c}{15},

b c

Join BYJU'S Learning Program