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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 17, 34, 51, 68, 85, 102 is an AP as
34−17=51−34=68−51=85−68=102−85=17( a constant).
The sequence -30, -25, -20, -15, -10 is an AP as
−25−(−30)=−20−(−25)=−15−(−20)=−10−(−15)=5( a constant).
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.
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 17, 34, 51, 68, 85, 102 is an AP as
34−17=51−34=68−51=85−68=102−85=17( a constant).
The sequence -30, -25, -20, -15, -10 is an AP as
−25−(−30)=−20−(−25)=−15−(−20)=−10−(−15)=5( a constant).
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.
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