# math

In how many positive four-digit integers that are not multiples of 1111 do the digits form an arithmetic sequence? (The digits must form an arithmetic sequence, in order. For example, the number 5137 does not count.)

1. 👍
2. 👎
3. 👁
1. so, start with 1xxx. With various values of d, we get
d=1: 1234, 2345, 3456, 4567, 5678, 6789
d=2: 1357, 2468, 3579
d=3: 147? bzzt

Now, with negative d, we have
d=-1: 9876, 8765, 7654, 6543, 5432, 4321, 3210
d=-2: 9753, 8642, 7531, 6420
d=-3: 9630

So, of the numbers listed, how many are not multiples of 1111?

1. 👍
2. 👎
2. 6+7+4+1+3=21

1. 👍
2. 👎
3. STEVE YOU MSUT HAVE FOR BRAINS!

1. 👍
2. 👎

## Similar Questions

1. ### math

How many positive three-digit integers with each digit greater than 4 are divisible by 6??

2. ### Math

John chooses a 5-digit positive integer and deletes one of its digits to make a 4-digit number. The sum of this 4-digit number and the original 5-digit number is 52713. What is the sum of the digits of the original 5-digit number?

3. ### math

What is the sum of all two digit positive integers whose squares end with the digits 01?

4. ### Math

How many positive 3-digit integers contain only odd digits?

1. ### math

Form the greatest possible 5-digit number using the clues.All five digits are different. None of the five digit are 1.The digit in the ten thousands place is greater than 7.The sum of all five digit is 18.The greatest digit is

2. ### math

Solve the mathematical puzzle. Determine the digits of Q from these clues. The first and third digits of Q are even. The second and fourth digits of Q are odd. The first digit is two times the fourth digit. The first and second

3. ### LSAT PREP

A company employee generates a series of five-digit product codes in accordance with the following rules: The codes use the digits 0, 1, 2, 3, and 4, and no others. Each digit occurs exactly once in any code. The second digit has

4. ### math

How many positive three-digit integers with each digit greater than 4 are divisible by 6?

1. ### math

Rich chooses a 4-digit positive integer. He erases one of the digits of this integer. The remaining digits, in their original order, form a 3-digit positive integer. When Rich adds this 3-digit integer to the original 4-digit

2. ### math

Find a six-digit even number containing no zeros and no repeating digits in which the first digit is four more than the second digit, the third digit is one less than the sixth digit, and the fourth and fifth digits when read as a

3. ### Math

Twice the sum of the digits of a positive, two-digit integer is 19 greater than the ones digit. Reversing the digits decreases the number by 18.

4. ### Math *URGENT

Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646? 3. Determine