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10 December, 20:16

Here are the first five terms of a sequence.

3 8 17 30

47

Find an expression, in terms of n, for the nth term of this sequence.

+2
Answers (1)
  1. 10 December, 22:03
    0
    So the formula for the sequence is

    Second term = first term + (a+nd)

    Third term = second term + (a+nd)

    And so on

    Where n start with zero

    Step-by-step explanation:

    3 8 17 30 47

    First term = 3

    Second term = 8

    Third term = 17

    Fourth term = 30

    Fifth term = 47

    Second term - first term = 8-3=5

    Third term - second term = 17-8 = 9

    Fourth term - third term = 30-17=13

    Fifth term - fourth term = 47-30=17

    So the AP is 5 9 13 17

    We find out that the common difference is 9-5 = 4

    The formula for nth term of the AP is

    = a + nd

    So the formula fir the sequence is

    Second term = first term + (a+nd)

    Third term = second term + (a+nd)

    And so on

    Where n start with zero
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