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whats the next two terms in order are p+q, p , p-q
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whats the next two terms in order are p+q, p , p-q
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Mathematics
2 years
2021-07-20T21:22:00+00:00
2021-07-20T21:22:00+00:00 1 Answers
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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 ) .