Here are the first five terms of an arithmetic sequence. 26 19 12 5 (b) Find an expression, in terms of n, for the nth term of t

Question

Here are the first five terms of an arithmetic sequence.
26 19 12 5
(b) Find an expression, in terms of n, for the nth term of this sequence.

in progress 0
Thiên Hương 3 years 2021-08-17T16:08:50+00:00 1 Answers 194 views 0

Answers ( )

  1. kimcuc
    -1
    2021-08-17T16:10:25+00:00
    Reply

    Answer:

    The nth term of an AP will be 27 -7n.

    Step-by-step explanation:

    First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5

    Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 – 26 = (–7) .

    Here first term is 26 .

    And the nth term of an AP is given by ,

    ★ T_n = a + ( n – 1) d

    Substituting respective values ,

    ⇒ T_n = a + ( n – 1 )d

    ⇒ T_n = 26 + (n – 1)(-7)

    ⇒ T_n = 26 -7n+1

    ⇒ T_n = 27 – 7n

    Hence the nth term of an AP can be found using T_n = 27 – 7n.

Leave an answer

Browse

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