Check whether the following sequences are G.P. If so write tn. 3, 4, 5

1.	Check whether the following sequences are G.P. If so write tn. 3, 4, 5, 6, ……
Answer» 3, 4, 5, 6,.... t₁ = 3, t₂ = 4, t₃ = 5, t₄ = 6 Here, \(\frac{t_2}{t_1}=\frac43,\frac{t_3}{t_2}=\frac54,\frac{t_4}{t_3}=\frac65\) \(\because\) \(\frac{t_2}{t_1}\neq\frac{t_3}{t_2}\neq\frac{t_4}{t_3},\) then given sequence is not a Geometric progression.

Check whether the following sequences are G.P. If so write tn. 3, 4, 5, 6, ……

Answer»

3, 4, 5, 6,....

t₁ = 3, t₂ = 4, t₃ = 5, t₄ = 6

Here, \(\frac{t_2}{t_1}=\frac43,\frac{t_3}{t_2}=\frac54,\frac{t_4}{t_3}=\frac65\)

\(\because\) \(\frac{t_2}{t_1}\neq\frac{t_3}{t_2}\neq\frac{t_4}{t_3},\) then given sequence is not a Geometric progression.