which term of an ap 22 ,19, 16 ................ is its first negative term
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Solution :-
a = 22, d = - 3
1. an < 0
an = a + (n - 1)d
So, a + (n -1)d < 0
22 + (n - 1) - 3 < 0
22 - 3n + 3 < 0
25 - 3n < 0
25 < 3n
25/3 < n
8.33 < n
So, n is bigger than 8.33
S, the next natural number is 9
Therefore, 9th tern is the first negative term of the given AP
Answer.
a = 22, d = - 3
1. an < 0
an = a + (n - 1)d
So, a + (n -1)d < 0
22 + (n - 1) - 3 < 0
22 - 3n + 3 < 0
25 - 3n < 0
25 < 3n
25/3 < n
8.33 < n
So, n is bigger than 8.33
S, the next natural number is 9
Therefore, 9th tern is the first negative term of the given AP
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