Question

which term of the sequence 20,19 1/4,18 1/2,17 3/4,..........is the first negative term?

Answer 1

19 1/4 =77/4 Now,20-77/4 =3/4

18 1/2 =37/2 Now,77/4-37/2 =3/4

17 3/4 =71/4 Now,37/2-71/4 =3/4

So,

=> 20 +(n-1)(-3/4) <0

{ in A.P.,nth term =a+(n-1)d

=> 80-3n+3 <0 => 83<3n =>83/3 <n

So, n =28

{first integer greater than 83/3 27.6 }.

And 28th term = 20 + (28-1) (-3/4)

=20+27×(-3/4) = -1/4

Answer 2

sorry
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