What is the next number in the series 2, 1, 1/2, 1/4 ...
A.
1/3
B.
2/8
C.
3/7
D.
1/8
Correct Answer: 1/8
Explanation
2, 1, 12
, 14
.....
There are 4 terms in the series
Therefore the next number will be the 5th term
Tn = ar(n−1)
(formular for geometric series)
a = first term = 2
r = common rate = next term/previous term
= 1/2
n = number of terms
T5 = 5th term = ?
T5 = ar(5−1>/sup>
= ar4
= 2 × (ar(n−1))4
= 2 × 1/16
= 1/8
2, 1, 12
, 14
.....
There are 4 terms in the series
Therefore the next number will be the 5th term
Tn = ar(n−1)
(formular for geometric series)
a = first term = 2
r = common rate = next term/previous term
= 1/2
n = number of terms
T5 = 5th term = ?
T5 = ar(5−1>/sup>
= ar4
= 2 × (ar(n−1))4
= 2 × 1/16
= 1/8
