Question

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

Answer 1

4 (292+13n)

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

Answer 2

Answer: 4. 292+13n

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