in an Arthematic progression 9th term is 9 times is equal to 13th term is 13 times,then show that 22nd term is zero
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let a is the first term and d is the common difference of AP
now,
9 × 9th term = 13 × 13th term
9{ a + (9 -1)d} = 13 { a + (13 -1 )d }
9a + 72d = 13a + 156d
4a + 84d = 0
a + 21d = 0
now,
T22 = a + (22 -1)d = a +21d =0
now,
9 × 9th term = 13 × 13th term
9{ a + (9 -1)d} = 13 { a + (13 -1 )d }
9a + 72d = 13a + 156d
4a + 84d = 0
a + 21d = 0
now,
T22 = a + (22 -1)d = a +21d =0
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