Is series 7, 10, 14, 19, ...an A.P.? Give reason.
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Answer:
a= 7
a2-a1= 10-7=3
a3-a2=14-10= 4
a4-a3= 19-14= 5
From the above we get tht differences are not similar.
Therefore the above sequence is not an AP.
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We generally use an algorithm to determine that the series is an AP or not ,
If the common differnce are equal then the series forms an AP , Hence
Common difference = a2 - a1 = 10-7 = 3
a3 - a2 = 14-10 = 4
The common difference is not equal hence the above series doesn,t forma an AP ☑