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horrorfan [7]
3 years ago
15

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

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

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 ,

\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<u> </u><u>Ar</u><u>i</u><u>thmetic </u><u>Series</u> .

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

And here the Common difference is -q .

<u>Fourth </u><u>term </u><u>:</u><u>-</u><u> </u>

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

<u>Fifth</u><u> </u><u>term </u><u>:</u><u>-</u><u> </u>

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

<u>Therefore</u><u> the</u><u> </u><u>next </u><u>two </u><u>terms </u><u>are </u><u>(</u><u> </u><u>p </u><u>-</u><u> </u><u>2</u><u>q</u><u>)</u><u> </u><u>and </u><u>(</u><u> </u><u>p </u><u>-</u><u> </u><u>3q</u><u> </u><u>)</u><u> </u><u>.</u>

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