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Question
Which of the following sequence is not in arithmetic progression?
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Solution
The correct option is C 19, 38, 57, 75, 95, 114
An arithmetic progression is a sequence of numbers in which each term differs from the preceding term by a constant quantity called the common difference.
The sequence 19, 38, 57, 75, 95, 114 is not an arithmetic progression since the difference between consecutive terms is not constant.
For instance, the difference between the terms 38 and 57 is 57 - 38 = 19, whereas the difference between the terms 57 and 75 is 75 - 57 = 18.
But for other patterns, difference between consecutive terms is constant.
(i)−25−(−30)=−20−(−25)=−15−(−20)=−10−(−15)=−5−(−10)=5
(ii) 34−17=51−34=68−51=85−68=102=85=17
(iii) 0.4−0.2=0.6−0.4=0.8−0.6=1−0.8=1.2−1=0.2
An arithmetic progression is a sequence of numbers in which each term differs from the preceding term by a constant quantity called the common difference.
The sequence 19, 38, 57, 75, 95, 114 is not an arithmetic progression since the difference between consecutive terms is not constant.
For instance, the difference between the terms 38 and 57 is 57 - 38 = 19, whereas the difference between the terms 57 and 75 is 75 - 57 = 18.
But for other patterns, difference between consecutive terms is constant.
(i)−25−(−30)=−20−(−25)=−15−(−20)=−10−(−15)=−5−(−10)=5
(ii) 34−17=51−34=68−51=85−68=102=85=17
(iii) 0.4−0.2=0.6−0.4=0.8−0.6=1−0.8=1.2−1=0.2
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