Find the missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither. 33,11,−11,−33,_

Question

Find the missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.

33,11,−11,−33,__,__

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Vodka 4 years 2021-08-10T06:14:13+00:00 1 Answers 54 views 0

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  1. thuhuong
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    2021-08-10T06:15:54+00:00
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    Answer:

    33,11,−11,−33,-55,-77.

    Step-by-step explanation:

    For an AP a_1,a_2,a_3,....,a_n.

    a_2-a_1=a_3-a_2

    In this given AP,

    11-33=-11-11\\\\-22=-22=d

    It means the given sequence is an AP.

    First term, a = 33

    d = -22

    Fifth term :

    a_5=a+(n-1)d\\\\a_5=33+(5-1)\times (-22)\\\\a_5=-55

    Sixth term :

    a_6=a+(n-1)d\\\\a_6=33+(6-1)\times (-22)\\\\a_6=-77

    So, the sequence is 33,11,−11,−33,-55,-77.

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