Sunday

March 29, 2015

March 29, 2015

Posted by **lil** on Wednesday, April 10, 2013 at 7:24pm.

- algebra -
**Reiny**, Wednesday, April 10, 2013 at 8:28pmthe number must be divisible by 2, by 3, and by 5

that is it must be divisible by 30

So the sequence is

30 60 90 ... < 500

this is an arithmetic sequence, where

a = 30 and d = 30

what term is around 500

a+ (n-1)d = 500

30 + (n-1)(30) = 500

30 + 30n - 30 = 500

30n = 500

n = 16.66

so n = 16 , because 17 would be more than 500

check:

term(16) = 30 + 15(30) = 480

there are 16 such numbers

**Answer this Question**

**Related Questions**

math - how many integers, x, for which x/2, x/3 and x/5 is also an integer can ...

Help math!! - how many integers, x, for which x/2, x/3 and x/5 is also an ...

math - how many integers, x, for which x/2, x/3 and x/5 is also an integer can ...

Algebra - The sum of two consecutive even integers is 118. A. Define a variable ...

Algebra - The sum of two consecutive odd integers is 56. A. Define a variable ...

PROGRAMMING - 1. Make a C program that will input two integers and then to enter...

math - there are 8 consecutive integers that add up to 31. Only two of the ...

Algebra - A.Write and solve an equation to find three consecutive integers with ...

Algebra - A.Write and solve an equation to find three consecutive integers with ...

Algebra - The larger of two positive integers is five more than twice the ...