Question

Which term of the AP 49,47,45.....is its first negative term

Answer 1

it should be -1 if we consider this series 25th term

Answer 2

Answer:

Given:

• AP 49,47,45...

To find:

• first negative term

Solving Question:

 We are given the A.P from that the we can get 'a' [first term], 'd' [common difference]

and the formula , Nth term is a + (n-1)d

Solution:

a = 49

d = 47 - 49 = -2

take Nth term as 0

a + (n-1)d

⇒ 49 + (n-1)(-2) = 0

or, (n-1)(-2) = -49

or, n -1 = 49 /2

or,  n = 49/2 + 1

or, n = 49 + 2/2

or, n = 51/2

or, n = 25.5 ≈ 26

or, take n = 26

Therefore, the first negative term is 26