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Arithmetic Progressions

Question
CBSEENMA10009678

In an AP, if the common difference (d) = –4, and the seventh term (a7) is 4, then find the first term.

Solution

a7 = 4

a + 6d = 4 

as an = a + (n-1) d

but d = -4

a + (-24) = 4
a = 4 + 24 = 28
therefore first term a = 28