12,18,27,… What is the 7th term in the sequence?

Question

12,18,27,…
What is the 7th term in the sequence?

in progress 0
Hồng Cúc 3 months 2021-08-15T07:36:28+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-15T07:38:22+00:00

    Answer:

    T_7 = 136.6875

    Step-by-step explanation:

    Given

    12, 18, 27, ..

    Required

    Determine the 7th term

    The above sequence shows a geometric sequence and the nth term is calculated by:

    T_n = a * r^{n-1

    r is calculated by:

    r = \frac{T_2}{T_1}

    r = \frac{18}{12}

    r = 1.5

    a = 12 — First term

    n = 7

    So:

    T_n = a * r^{n-1}

    T_7 = 12 * 1.5^{7-1

    T_7 = 12 * 1.5^6

    T_7 = 136.6875

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )