Question

If the nth term of A.P. 5, 2, -1, ............ is - 49, then the value of n​

Answer 1

Answer:

n = 19

Step-by-step explanation:

5, 2, -1, .........

a = 5

d = a2 - a1 = a3 - a2

2 - 5 = -1 - 2

- 3 = - 3

d = - 3

an = a + (n-1)d

- 49 = 5 + (n-1)(-3)

- 49 - 5 = (n-1)(-3)

- 54 = (n-1)(-3)

-54/-3 = n-1

18 = n - 1

n = 18 + 1

n = 19

therefore -49 is the 19th term

hope you get your answer