Check whether the following sequences are G.P. If so, write tn. 1, -5,

1.	Check whether the following sequences are G.P. If so, write tn. 1, -5, 25, -125,....
Answer» 1, -5, 25, -125,..... t₁ = 1, t₂ = -5, t₃ = 25, t₄ = -125 Here, \(\frac{t_2}{t_1}=\frac{t_3}{t_2}=\frac{t_4}{t_3}=5\) \(\because\) the ration of any two consecutive terms is a constant, the given sequence is a Geometric progression. Here, a = 1, r = -5 t_n = ar^n-1 ^{\(\therefore\)}t_n = (-5)^n-1

Check whether the following sequences are G.P. If so, write tn. 1, -5, 25, -125,....

Answer»

1, -5, 25, -125,.....

t₁ = 1, t₂ = -5, t₃ = 25, t₄ = -125

Here, \(\frac{t_2}{t_1}=\frac{t_3}{t_2}=\frac{t_4}{t_3}=5\)

\(\because\) the ration of any two consecutive terms is a constant, the given sequence is a Geometric progression.

Here, a = 1, r = -5

t_n = ar^n-1

^{\(\therefore\)}t_n = (-5)^n-1