The first term of an arithmetic sequence is 10 and the sum of the first four terms is 400. Find the first four terms
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Given,
a = 10
Sn = S4 = 400
a1, a2, a3, a4 = ?
Sn = n/2 [2a+(n-1)d]
S4 = 4/2 [2×10+(4-1)d]
400/2 = 20+3d
200-20 =3d
180 =3d
d= 60
a1 = 10
a2 = a+d = 10+60 = 70
a3 = a+2d = 10+2×60 = 130
a4 = a+3d = 10+3×60 = 190
first four terms of Ap are : 10, 70, 130, 190
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