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28 June, 21:56

1. Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48, ...

yes; 2

yes, - 2

yes; 4

no

2. What is the fifth term of the geometric sequence?

5, 15, 45, ...

1,215

1,875

405

3,645

+5
Answers (1)
  1. 28 June, 23:15
    0
    1) yes; 2 6*2=12 12*2=24 24*2=48

    2) Next Term (or nth term) = ar^n-1

    a = first term, i. e. 5

    r = common ratio i. e. 3 (as 15/5=3 and 45/15=3

    n = ...

    as you already have 1st, 2nd and 3rd terms

    substituting now

    T4 = ar^n-1

    = 5*3^4-1

    = 5*3^3

    = 5*27

    T4 = 135

    T5 = ar^n-1

    = 5*3^5-1

    = 5*3^4

    = 5*81

    T5 = 405
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