Question

Which term of the ap 53,48,43,etc is the first negative term?

Answer 1

Answer:

Given:

first term (a) = 53

Common difference (d) = 48-53 = -5

first negative term = ?

nth term= a + (n-1)d

first negative term ,

a + (n-1)d < 0

or, 53 + (n-1)(-5) < 0

or, (n-1)(-5) < -53

or, n-1 < -53/-5

or, n < 53/5 + 1

or, n < 58/5

or, n < 11.6

Therefore , n is 12

The 12th term is the first negative term.