Question

Find the 20th term of the AP 2,5,8,11......?

Answer 1

Answer: 59

Step-by-step explanation:

Given:-

First term, a = 2

difference, d= a2-a1 = 5-2=3

We know that

an= a+(n-1)d

a 20= 2+( 20-1)3

a20= 2+19×3

a20= 2+ 57

a20= 59

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Answer 2

20th term of the AP 2 , 5 , 8 , 11 , . . . . = 59

Given :

The AP 2 , 5 , 8 , 11 , . . . .

To find :

20th term of the AP 2 , 5 , 8 , 11 , . . . .

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

2 , 5 , 8 , 11 , . . . .

Step 2 of 3 :

Write down first term and common difference

First term = a = 2

Common Difference = d = 5 - 2 = 3

Step 3 of 3 :

Find 20th term of the AP

20th term of the AP

$\sf = a_{20}$

= a + (20 - 1)d

= a + 19d

= 2 + (19 × 3)

= 2 + 57

= 59

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