# arithmetic

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determine the secon termof an A.P whose sixth term is 12 and eighth term is 22?

• arithmetic -

a(n) = a₁ +(n-1)d

a(6) = a₁ +(6-1)d=12
a(8) = a₁ +(8-1)d=22

a₁ +5d=12
a₁ +7d=22
a₁ = -13
d=5
a(2) = a₁ +(2-1)d=
=-13 +5= =-8

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