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1 June, 15:56

Jerome noticed the following house numbers on his street

305,318,331,344

The house number follow a pattern which expression can be used to determine the Nth House number on his street

1. 292n+13

2. 13 (n+292)

3. 292n

4. 292+13n

+1
Answers (2)
  1. 1 June, 18:33
    0
    Answer: 4. 292+13n

    Step-by-step explanation:

    Jerome noticed the following house numbers on his street

    305,318,331,344. This is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as

    Tn = a + (n - 1) d

    Where

    a represents the first term of the sequence.

    d represents the common difference.

    n represents the number of terms in the sequence.

    From the information given,

    a = 305

    d = 318 - 305 = 13

    The expression that can be used to determine the Nth House number on his street is

    Tn = 305 + (n - 1) 13

    Tn = 305 + 13n - 13

    Tn = 13n + 305 - 13

    Tn = 13n + 292
  2. 1 June, 19:48
    0
    4 (292+13n)

    Step-by-step explanation:

    Each house number is 13 more than the one before it. This means that when the house increases by 1 (the next house in the line) the house number increases by 13. This that the increase in the house number is 13 times bigger than the house increase. n is the house increase, so you can write this as 13n. The reason it has the 292 is because if n is 1, then the house number is 305 (because 305 is the first house). If you subtract 13 from 305, you get 292 for when n is 0. If you do the equation with n being 0 it would be: 292+13 (0), which is 292+0, or just 292.

    Sorry if I made that too confusing
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