find ap whose 10th term is 5 and 18th term is 77
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Answered by
15
Hey !!
GIVEN THAT,
10th term is 5
Now, applying nth term formula a + (n - 1)d
a + ( 10 - 1 )d = 5
a + 9d = 5 ---------> (1)
Now, 18th term is 77
Now, applying nth term formula a + ( n - 1)d
a + ( 18 - 1 )d = 77
a + 17d = 77 ---------> (2)
Now, from (2) and (1)
8d = 72
d = 72/8
d = 9
Now, substituting the value d = 9 in equation in (1)
Therefore,
a + 9(9) = 5
a + 81 = 5
a = 5 - 81
a = -76
THEREFORE THE A.P IS -76 , -67
GOOD LUCK !!
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