Question

Whats the next two terms in order are p+q, p , p-q

Answer 1

p - 2q and p - 3q

Explanation:

A Series is given to us and we need to find the next two terms of the series . The given series to us is ,

`\rm\implies Series = p+q , p , p - q`

Note that when we subtract the consecutive terms we get the common difference as "-q" .

`\rm\implies Common\ Difference = p - (p + q )= p - p - q =\boxed{\rm q}`

Therefore the series is Arithmetic Series .

Arithmetic Series:- The series in which a common number is added to obtain the next term of series .

And here the Common difference is -q .

Fourth term :-

`\rm\implies 4th \ term = p - q - q = \boxed{\blue{\rm p - 2q}}`

Fifth term :-

`\rm\implies 4th \ term = p - 2q - q = \boxed{\blue{\rm p - 3q}}`

Therefore the next two terms are ( p - 2q) and ( p - 3q ) .