How to find the common difference of an arithmetic sequence

Asked by admin @ 25/11/2021 in Mathematics viewed by 349 People

How to find common difference of arithmetic sequence given first and last term?

Answered by admin @ 25/11/2021

Yeah there is a way... Lemme give a typical question...
Find the common difference of an arithmetic progression whose first term Is 1 and last term is 1023...

First term = T¹ =a
Last term = Tn = a + (n-1)d

Since your given the values of the first and the last term... You can substitute

Tn = 1 + (1023-1)d

1023 = 1 + 1022d

1022d = 1023 - 1

1022d = 1022

common difference = 1...

So there is a way....

You can get the common difference using the two terms given...

Hope this helped...

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