In an AP :

given a = 7, an = 35 find d and s13


d is the common difference

a is the first term = 7


a13 = 35


a13 = a + (13-1)d


35 = 7 + (12)(d)


28 = 12 d


d =


The sum of the series is Sn = [2a + (n-1) d]


S13 = [2×7 + (13-1) ]


= [42]


= 273


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