Question

The 20th term of the AP 1,5,9,13,17....

Answer 1

a=1
d=4
n=20
formula
=a+(n-1)d
=1+(20-1)4
19×4=76
76+1=77
=77 ans
Hope it help

Answer 2

20th term of the AP = 77

Given :

The arithmetic progression 1 , 5 , 9 , 13 , 17 , . . . .

To find :

30th 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

1 , 5 , 9 , 13 , 17 , . . . .

Step 2 of 3 :

Write down first term and common difference

The arithmetic progression is

1 , 5 , 9 , 13 , 17 , . . . .

First term = a = 1

Common Difference = d = 5 - 1 = 4

Step 3 of 3 :

Find 20th term of the AP

30th term of the AP

$\sf = a_{20}$

= a + ( 20 - 1 )d

= a + 19d

= 1 + ( 19 × 4 )

= 1 + 76

= 77

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