Q3 of 176 Page 21

Find:
the ninth term of the G.P. 1, 4, 16, 64, ….

T_n = ar^n-1

a = 4,

∴ T₉ = 4.(4^9-1)

= 4.4⁸

= 4⁹

∴ The 9 term is 4⁹

Show that each one of the following progressions is a G.P. Also, find the common ratio in each case :

i. 4, -2, 1, ,….

iii.

iv.

Show that the sequence defined by n ∈ N is a G.P.

Find:

the 10^th term of the G.P.

Find:

the 8^th term of the G.P., 0.3, 0.06, 0.012, ….

Find:the ninth term of the G.P. 1, 4, 16, 64, ….