Which term of the progression 20 19 1/4 is the first negative term?
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It's a decreasing sequence. Let's find the number of term which will be zero. Then the next integer will give negative term.
answer and equating an to zero.
a = 20 , d = -3/4
an = a+(n-1)d
= 20+(n-1)(-3/4)
= 20+(-3n+3)/4
= (80-3n+3)/4
83 - 3n = 0
3n - 83 = 0
n = 83/3
n = 27.66
The next integer is 28
So 28th term will be the first -ve term....
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