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

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Mathematics Nho 2 years 2021-07-20T21:22:00+00:00 2021-07-20T21:22:00+00:00 1 Answers 3 views 0

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minhkhang · Answer 1 · 2021-07-20T21:23:06+00:00

Answer:

p – 2q and p – 3q

Step-by-step 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 ,

[tex]\rm\implies Series = p+q , p , p – q [/tex]

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

[tex]\rm\implies Common\ Difference = p – (p + q )= p – p – q =\boxed{\rm q}[/tex]

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 :–

[tex]\rm\implies 4th \ term = p – q – q = \boxed{\blue{\rm p – 2q}}[/tex]

Fifth term :–

[tex]\rm\implies 4th \ term = p – 2q – q = \boxed{\blue{\rm p – 3q}}[/tex]

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