for an AP: 3/2,1/2,-1/2,-3/2,......, write the first term a and the common difference d.
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Given
a1= 3/2 a2= 1/2 a3= -1/2 , a4= -3/2
d= a2-a1 = 1/2 - 3/2 = 1-2/2 = -1/2
d2= a3- a2 = -1/2 - 1/2 = -1 -1 /2= - 1/2
d3= a4-a3= -3/2 - (-1/2)= -3/2 + 1/2= -3 +2 / 2= -1/2
So, d=d2=d3
Hence , a= 3/2 and comman difference d= -1/2
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