Question

the 7th term of the A.P 7,10,13,16,......? is

Answer 1

There is a difference of 3 in each so
7,10,13,16,19,22,25,28....
so 7 term is 25

Answer 2

7th term of the AP 7 , 10 , 13 , 16 , . . . . = 25

Given :

The arithmetic progression 7 , 10 , 13 , 16 , . . . .

To find :

7th term of the AP

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

7 , 10 , 13 , 16 , . . . .

Step 2 of 3 :

Write down first term and common difference

First term = a = 7

Common Difference = d = 10 - 7 = 3

Step 3 of 3 :

Find 30th term of the AP

7th term of the AP

$\sf = a_{7}$

= a + ( 7 - 1 )d

= a + 6d

= 7 + ( 6 × 3 )

= 7 + 18

= 25

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