Question

Which term of the ap -103,-98,-93,........ Is 22

Answer 1

Answer:

Find the answer in the attachment.

Hope it helps you........

Answer 2

22 is the 26th term of the arithmetic progression - 103 , - 98 , - 93 , . . . .

Given :

The arithmetic progression - 103 , - 98 , - 93 , . . . .

To find :

Which term of arithmetic progression is 22

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

- 103 , - 98 , - 93 , . . . .

Step 2 of 3 :

Write down first term and common difference

First term = a = - 103

Common Difference = d = - 98 + 103 = 5

Step 3 of 3 :

Find the number of terms

Let number of terms in the AP = n

Then nth term of the AP = 22

a + ( n - 1 )d = 21

⇒ - 103 + ( n - 1 ) × 5 = 22

⇒ - 103 + 5n - 5 = 22

⇒ 5n - 108 = 22

⇒ 5n = 22 + 108

⇒ 5n = 130

⇒ n = 130/5

⇒ n = 26

Hence 22 is the 26th term of the arithmetic progression - 103 , - 98 , - 93 , . . . .

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