Question

Consider the sequence: 1536, 768, 384, 192, 96, ... Determine the 11th term of the sequence. Group of answer choices

1.5
3
6
12

Answer 1

The answer is 1.5

Explanation:

You have to find the pattern and work your way down to the 11th term.

Answer 2

1.5

Explanation:

The sequence given is a geometric progression (G.P). For a G.P where the first term is a, the common ratio (which is the ratio between successive terms), the nth term of the GP is given as

Tn = ar^n-1

From the sequence given

a = 1536

r = 768/1536

= 1/2

= 0.5

Hence the 11th term of the sequence

T11 = 1536 (1/2)^11-1

= 1536 (1/2)^10

= 1536/1024

= 1.5