If the first term of AP is 4 and common difference is -2 find the 16th term.
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Given AP is: 129,120,111,102,.........
Where the first term a = 129
common difference d = 120 - 129 = -9
Let nth term is the first negative term in AP
Now nth tern in AP = a + (n-1)*d
= 129 + (n-1)*(-9)
= 129 - 9n + 9
= 138 - 9n
By taking value of n = 16, we get
nth term = 138 - 9*16
= 138 - 144
= -6
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