Question

which term of the AP 49, 44,39..... is 9​

Answer 1

Answer:

9 is the 9th term of the given AP

Step-by-step explanation:

Given AP ,  49, 44,39....

=> a = 49 ; d = t₂-t₁ = 44-49 = -5

let tₙ = 9

=> 49+(n-1)(-5) = 9

=> 49-5n+5 = 9

=> 5n = 49+5-9

=> 5n = 54-9 = 45

=> n= 45/5

=> n=9

ie., 9 is the 9th term of the given AP

Answer 2

9th term of the AP 49 , 44 , 39 , . . . . is 9

Given :

The AP 49 , 44 , 39 , . . . .

To find :

Which term of the AP 49 , 44 , 39 , . . . . is 9

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 3 :

Write down the given progression

Here the given arithmetic progression is

49 , 44 , 39 , . . . .

Step 2 of 3 :

Write down first term and common difference

First term = a = 49

Common Difference = d = 44 - 49 = - 5

Step 3 of 3 :

Find which term of the AP 49 , 44 , 39 , . . . . is 9

Let nth term of the AP 49 , 44 , 39 , . . . . is 9

Then nth term of the AP = 9

a + ( n - 1 )d = 109

⇒ 49 + ( n - 1 ) × ( - 5 ) = 9

⇒ 49 - 5n + 5 = 9

⇒ - 5n + 54 = 9

⇒ - 5n = 9 - 54

⇒ - 5n = - 45

⇒ 5n = 45

⇒ n = 9

Hence 9th term of the AP 49 , 44 , 39 , . . . . is 9

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