Question

if the common difference of an ap is 5 then what is a17-a12

Answer 1

Answer:

if common difference of ap is 5 means

a is a and 5 is p because a17-a12 is a(17-12)

a is common in both so,a(5) so, this we can consider as ap

Answer 2

Answer:

a17-a12=25

Step-by-step explanation:

Given that,

common difference (d)=5

as we know that,

an=a+(n-1)d

so,

    a17=a+(17-1)d

=>a17=a+16(5)

=>a17=a+80 =>eq.(1)

Now,

     a12=a+(12-1)d

  =>a12=a+11d

 =>a12=a+11(5)

=>a12=a+55 =>eq.(2)

according to the given question

a17-a12=a+80-(a+55)        (From eq.(1)&(2))

=>a17-a12=a+80-a-55

=>a17-a12=80-55

=>a17-a12=25

therefore,

                a17-a12=25

HOPE THIS WOULD BE HELPFUL FOR YOU