Question

find indicated terms of the arithmetic progression 1/2,1,3/2........ Find a25 and a31​

Answer 1

Answer:

25/2    and   31/2

Step-by-step explanation:

In APs nth term is given by a + ( n - 1 )d, where a is the first term and d is the common difference.

    Here,

a = first term = 1 / 2

d = co. diff = 1 - 1/2 = 1/2  

               

  Hence,

a₂₅ = a + ( 25 - 1 )d

     = 1/2 + ( 24 )( 1/2 )

     = 1/2 + 12

     = ( 1 + 24 ) / 2

     = 25/2

    And,

a₃₁ = a + ( 31 - 1 )d

    = 1/2 + ( 30 )( 1/2 )

    = 1/2 + 15

    = ( 1 + 30 ) / 2

    = 31/2