The first term of a G.P is 2 and the common ratio is 2. Find the 6th term.

a_6 = ar^5

so plug in your numbers

In GP

n- th tem is

an = a rⁿ⁻¹

a= first term

r = common ratio

a6 = a r⁶ ⁻¹

a6 = a r⁵

In this case:

a = 2

r = 2

n = 6

a6 = a r⁵

a6 = 2 • 2⁵ = 2 • 32 = 64

By the way your GP is:

2 , 4 , 8 , 16 , 32 , 64 ...