Question

if 4 and 7 are 2nd and 3rd term of an A.P respectively, then it's first term is? ​

Answer 1

Answer:

1.

Step-by-step explanation:

d= a2 - a1

 = 7-4

 =3.

d=3

a= a2 -d

 = 4-3

 =1.

a=1.

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Answer 2

Given : 4 and 7 are 2nd and 3rd term of an A.P

To find : first term

Solution:

an AP series is of a  form

a  , a + d ,  a + 2d , ........................................ , (a + (n-1)d)

a = first term

d = = common difference

nth term = a + (n-1)d

2nd term = a  + d   = 4        

3rd term = a + 2d  = 7        

2 * Eq1 -   Eq2

=> 2a + 2d  - a - 2d  =  8  - 7

=> a = 1

First term is  1

Additional info

d = 3

AP is  1 , 4  , 7 , 10  ,........

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