Write an expression that shows how you can multiply 9x475 using expanded form and the distributive property

To multiply 9x475 using expanded form and the distributive property, you will break 475 into three numbers, multiply each of them by 9, and add the products together:

475 = 400 + 70 + 5

400x9 = 3600
70x9 = 630
5x9 = 45

3600 + 630 + 45 = 4,275

If it is my birthday, then it is snowing

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

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