The common difference of an ap is 5/2. What would be the difference of its 15th term and 5th term ?

The common difference of an ap is 5/2. What would be the difference of its 15th term and 5th term ?

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  1.             Answer:

                        25

     Step-by-step explanation:

    AP = a1 , a2 , a3 , a4

    AP = a , a+d , a+2d , a+3d

    d = 5/2

    15th term – a15 = a + 14d

    5th term  –  a5 = a + 4d

    a15 – a14

    = a + 14d – (a + 4d)

    = a + 14d – a 4d

    = 14d – 4d

    = 10d

    = 10 × 5 / 2

    = 5 × 5

    = 25

    ∴  the difference of its 15th term and 5th term is 25

                          Thank You

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