determine second term and rth term of an ap whose 6th term is 12 and 8th term is 22
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6th term = a+5d = 12
8th term = a+ 7d = 22
=> subtracting
=> a +7d -a -5d = 22-12
=> 2d = 10
=> [d= 5]
given a +5d= 12
=> a + 25 = 12
=> [a = -13]
second term = a+d
=> -13 + 5 = -8
rth term = a + (r-1)d
=> -13 + 5r -5
=> 5r - 18
8th term = a+ 7d = 22
=> subtracting
=> a +7d -a -5d = 22-12
=> 2d = 10
=> [d= 5]
given a +5d= 12
=> a + 25 = 12
=> [a = -13]
second term = a+d
=> -13 + 5 = -8
rth term = a + (r-1)d
=> -13 + 5r -5
=> 5r - 18
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