Write term if the progression 20 ,19(1/4) ,18(1/2) ,17(3)4) .......
is the first negative terms
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Answer:
n=28 and the first negative term is (-1/4)
Step-by-step explanation:
a=20, d=19 1/4 -20 =(77/4)-(80/4) =(-3/4)
an = a+(n-1)d
=20 +(n-1)(-3/4)
=20+ 3/4 - 3n/4
an<0
20+ 3/4 -3n/4 <0
20+3/4 < 3n/4
(20+ 3/4)4< 3n
(80+3)/3 <n
27.6 < n
n=28
an= 20 +27*(-3/4)
an=20 + (-81/4)
an= 80/4 -81/4 = -1/4
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