check whether (a+b),(a+1)+b,(a+1)+(b+1),(a+2)(b+1),(a+2)(b+2) is an arithmetic progression and find common difference d
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Step-by-step explanation:
Common difference = d = t_(n+1) - t_n
d = (a+b+1) - (a+b) = (a +b+2) - (a+b+1) = (a+b+3) - (a+b+2) = (a+b+4) - (a+b+3)
d = 1 = 1 = 1 = 1
Hence it's common difference is same or equal.
this implies, these are in AP series
Note:- In your ques i think you have done mistake. It should be like,
check whether (a+b),(a+1)+b,(a+1)+(b+1),(a+2)+(b+1),(a+2)+(b+2) is an arithmetic progression and find common difference d
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