Question

Hello mates❤❤❤
Here is your question
Which term of the AP 5, 2,-1, ..... is -22??
please solve it fast

Answer 1

hola mate

a=5.

d=2-5= -3

a+(n-1)d=an

5+(n-1)(-3)=-22

5-3n+3=-22

8-3n=-22

-3n=-22-8

-3n=-30

3n=30

n=30/3

n=10

Answer 2

Answer:

10 th term of the A.P is - 22 .

Step-by-step explanation:

Let us say that the n th term of the A.P is - 22 .

We assume that the first term of A.P is a.

Let the common difference be d.

Find the value of d

d = 2 - 5

⇒ d = - 3

Find the value of n

The n th term of the A.P is given by the formula :

a + ( n - 1 ) d

n th term = - 22

⇒ a + ( n - 1 ) d = - 22

⇒ 5 + ( n - 1 )( - 3 ) = - 22

⇒ 5 - 3 n + 3 = - 22

⇒ - 3 n + 8 = - 22

⇒ - 3 n = - 22 - 8

⇒ - 3 n = - 30

⇒ n = -30/-3

⇒ n = 10

The 10 th term is -22.