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20 November, 02:51

5. Is the sequence arithmetic? If so, identify the common difference.

14, 21, 42, 77, ...

yes; 7

yes; - 7

yes; 14

no

6. What is the 12th term of the sequence 10, 6, 2, ...?

-16

-24

-34

-38

7. Find the missing term of the arithmetic sequence 22, ___, 34, ...

46

16

28

40

+5
Answers (1)
  1. 20 November, 03:03
    0
    5.

    aritmetic is same increase per term

    14 to 21 is 7

    21 to 42 is 21

    7≠21

    no

    6.

    decreases by 4 each time

    an=a1+d (n-1)

    an=10-4 (n-1)

    n=12 for 12th term

    a12=10-4 (12-1)

    a12=10-4 (11)

    a12=10-44

    a12=-34

    it is - 34

    7.

    missing term is y

    22+n=y

    y+n=34

    22+n+n=34

    22+2n=34

    minus 22 from both sides

    2n=12

    divide both sides by 2

    n=6

    22+n=y

    22+6=y

    28=y

    28 is answer

    5. no

    6. - 34

    7. 28
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