Which term of the A.P. 20,77/4,37/2,75/4,..........is …
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Sia ? 6 years ago
The given AP is 20, 1914,1812,1734,…
common difference =1914−20=774−20=−34
the general term of an AP is given by
an =a+(n-1)d<0
⇒ a+(n-1)d<0
⇒ 20+(n-1)(−34)<0
⇒ 20-3n4+34<0
⇒ -3n4+834<0
⇒ -3n+83<0
⇒ -3n< -83
⇒ n>833
⇒ n> 27.6
So, n=28
a28 = a + 27d = 20 + 27 ×−34= -0.25
Hence, the first negative term would be the 28th term.
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