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Question

Which term of the progression 20,1914,1812,1734..is the first negative term?


Solution

Given, A.P. is 20,1914,1812,1734...

= 20,774,372,714,....

Here, a = 20, d = 77420=77804=34

Let an is first negative term

a+(n1)d<0

20+(n1)(34)<0 20+34<34n

834<34n

n>834×43

n>833=27.66

28th term will be first negative term of given A.P.

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