Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins wi

Question

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{1, 7, 13, 19, 25, . . . }

in progress 0
Hưng Khoa 1 year 2021-09-05T01:16:30+00:00 1 Answers 3 views 0

Answers ( )

    0
    2021-09-05T01:17:38+00:00

    Answer:

    the formula is a_n = 6n – 5

    Step-by-step explanation:

    The formula is

    Given that

    {1, 7, 13, 19, 25, . . . }

    The difference between the numbers is

    7 –  1 = 6

    13 -7 = 6

    19 – 13 = 6

    a = 1

    d = 6

    Now the formula is

    a_n = a + (n – 1)d

    = 1 + (n – 1)6

    = 1 + 6n – 6

    = 6n – 5

    So, the formula is a_n = 6n – 5

Leave an answer

Browse

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