The 9th term and the 21st term of an AP are 75 and 81th term of the AP
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madhu637257:
you only mentioned 9th term value that is 75
75
The 9th term and the 21st term of an AP are 75 and 183 respectively.find 81st term of the AP
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9th term = 75
a + (n-1)d = 75
a + (9-1)d = 75
a + 8d = 75
a = 75 - 8d --- (i)
21st term = 183
a + 20d = 183
a = 183 - 20d --- (ii)
75 - 8d = 183 - 20d
20d - 8d = 183 - 75
12d = 108
d = 9
75 - 8d = a
75 - 8(9) = a
75 - 72 = a
3 = a
81st term of AP:-
a + (n-1)d
3 + (81-1)9
3 + (80)9
3 + 720
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