what are the terms of an arithmetic sequence in which the sum of 8continuous numbers is 80 and common difference 4
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Visual proof of the derivation of arithmetic progression formulas – the faded blocks are a rotated copy of the arithmetic progression
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Let t1 = a,
S8 = 8/2{2a+(8-1)4} = 80
Sum = 4{2a + 28} = 80
Sum = 2a + 28 = 80/4
Sum = 2(a+14)=20
Sum = a + 14 = 20/2
Sum = a = 10 - 14 = (-4) ans.
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