Question

if p,q,r,and s are in a.p.then r-qis ​

Answer 1

p, q, r and s are in AP

$a_{1}= p \\a_{2}=q\\a_{3}= r\\a_{4}=s$

$r-s =?\\a_{3}- a_{2}= ?$

$d=a_{2}-a_{1}\\= a_{3}-a_{2}\\=a_{4}-a_{3}$

$r - q = d \\or \\r-q=d\\=a_{2}-a_{1}\\= a_{3}-a_{2}\\=a_{4}-a_{3}$

where {d} is common difference    

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