find the sum of the first 40 terms of the arithmetic sequence given 3/4,1/4,-1/4,-3/4,-5/4
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S=3+4+8+9+13+14+18+19+....40 terms
=7+17+27+37+...20 terms
it is in A.P
∴s=
2
20
[2×7+(20−1)10]
=10(14+190)
=10×204
=20×102
as s=(102)m
⇒20×102=102×m
m=20
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