Which of the following form an AP
A 1,1,2,2,3,3
B 0.3,0.33,0.333
C 1/2,1/4,1/8
Answers
because term 2- term 1 and term3 -term2 are equal.
Answer:
None of the series forms an AP.
Step-by-step explanation:
Arithmetic progression ( AP ) is a series in which each term after the first term is achieved by adding ' d ' to the preceding term whereas, ' d ' is the common difference.
In simple words, The difference between the consecutive numbers in the series will be same.
A ) 1 , 1 , 2 ,2 , 3 , 3
Difference between first two terms = 1 - 1 = 0
Difference between next two terms = 2- 1 = 1
Since, difference 0 ≠ 1
So this series does not form an AP
B) 0.3 , 0.33 , 0.333
Difference between first two terms = 0.3 - 0.33 = - 0.03
Difference between next two terms = 0.33 - 0.333 = - 0.003
Since, difference - 0.03 ≠ - 0.003
So this series also does not form an AP
C) 1/2 , 1/4 , 1/8
Difference between first two terms = 1 / 2 - 1 / 4 = 1 / 4
Difference between next two terms = 1 / 4 - 1 / 8 = 1 / 8
Since, difference 1 / 4 ≠ 1 / 8
So this series also does not form an AP
Hence,
None of the series forms an AP.