if 6th and 13th terms of an angle are O and 14 respectively find the first term and common difference
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Hi !
a₆ = 0
a + 5d = 0 --> [1]
a₁₃ = 14
a + 12d = 14 --> [2]
(2) - (1)
a + 12d = 14
- a + 5d = 0
------------------------
7d = 14
d = 2
a + 5d = 0
a + 10 = 0
a = -10
∴ First term = a = -10
Common difference = d = 2
a₆ = 0
a + 5d = 0 --> [1]
a₁₃ = 14
a + 12d = 14 --> [2]
(2) - (1)
a + 12d = 14
- a + 5d = 0
------------------------
7d = 14
d = 2
a + 5d = 0
a + 10 = 0
a = -10
∴ First term = a = -10
Common difference = d = 2
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