Question

Ap 5,12,19___14th term .

Answer 1

Answer:

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Step-by-step explanation:

given

a=5

d=7

14th term=5+13×7

=96

Answer 2

14th term of the AP = 96

Given :

The arithmetic progression 5 , 12 , 19 , . . . .

To find :

14th 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

5 , 12 , 19 , . . . .

Step 2 of 3 :

Write down first term and common difference

First term = a = 5

Common Difference = d = 12 - 5 = 7

Step 3 of 3 :

Find 14th term of the AP

14th term of the AP

$\sf = a_{14}$

= a + ( 14 - 1 )d

= a + 13d

= 5 + [ 13 × 7 ]

= 5 + 91

= 96

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