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How many positive integers from 1 to 100 inclusive can be written as the sum of two or more consecutive positive integers?
Wiki User
∙ 13y ago
With a lot of elbow grease, we learned something that we don't understand yet:
All of them can, except the powers of two ... 1, 2, 4, 8, 16, 32, and 64 .
So the answer is 93 . We need to think about this peculiar discovery.
Wiki User
∙ 13y ago
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What are positive and negative integers?
An integer is a whole number. The set of integers can be expressed as {-∞, ..., -3, -2, -1, 0, 1, 2, 3, ..., ∞}. The ∞ symbol represents infinity (an integer with infinite digits). The integer zero (0) lies at the centre of the set and is neither positive nor negative. The positive integers are the counting numbers greater than zero {1, 2, 3, ..., ∞}. The negative integers are the inverses of the counting numbers, all less than zero {-∞, ..., -3, -2, -1}. Positive integers are sometimes denoted with the + symbol for clarity, such as {+1, +2, +3, ..., +∞).Positive integers are the counting numbers (1, 2, 3, 4, 5 and so on) greater than zero. Negative integers are their counterparts (-1, -2, -3, -4, -5 and so on) less than zero.
How would you convince a fellow student that the number 0.57 is a rational number?
0.57 can be written as 57/100. 57 and 100 are both integers and therefore 0.57 can be written as a ratio of 2 integers. A number that can be written as a ratio of two integers is a rational number because the word rational comes from ratio.
How many even 2 digit positive integers greater than 60 are there?
There are 19 two-digit positive integers greater than 60. 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98 Edit: Since you didn't specify greater than 60 up to 100, the answer to your question as written is infinite.
Is -11.7 an irrational number?
NO it is not irrational, that is to say it IS rational. If you can write a number as ratio of integers, it is rational. -11.7 can certainly be written as a ratio of integers.
Numbers that can be written as the ratio of two integers are called what numbers?
Rational
How many positive integers less than 100 can be written as sum of 9 consecutive integers?
All of them from 45 to 99 ... 55 integers.
What is the sum of all the numbers less than that can be written as sum of 9 consecutive positive integers?
The answer is, obviously, 9.
What are all the numbers between 1 and 40 that can be written as the sum of consecutive positive integers?
3, 5, 7, 9, 11, 13 ... and the rest of the odds, up to 39
All multiples of odd natural number can be written as the sum of consecutive natural numbers?
No. Odd numbers can be written as the sum of consecutive integers, but some multiples of odd numbers are even.
Find four consecutive odd integers if the product of the smaller two is 112 less than the larger two?
The first 4 consecutive integers can be written as the following:XX+1X+2X+3From the problem the we get the following equation:2*(X)*(X+3) - {(X)*(X+3)} = 42X2+6X - X2 - 3X = 4X2 + 3X - 4 = 0Factoring this quadratic equation is (X+4)(X-1) = 0So the 1st positive integer is X-1 = 0 or X=1and the other integers is 2,3,4----Comment by Kirbysuper----But... those integers aren't positive numbers... in the question, it says to find 4 consecutive positiveintegers.
I don't understand how to do integers?
Integers are the natural numbers (positive and negative) that can be written without a decimal or a fraction attached.see en.wikipedia.org/wiki/Integer
The sum of three consecutive even integers written form?
Let x equal the smallest integer. The sum will be 3x + 6
What is strontium's atomic number written as a positive integer?
All atomic numbers are positive integers. Strontium's atomic number is 38.
What are consecutive sums?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, the number 15 can be written as the sum of consecutive integers in three different ways: 15=7+8 15=4+5+6 15=1+2+3+4+5 Look at numbers other than 15 and find out all you can about writing them as sums of consecutive whole numbers.
How many different two-digit numbers can be written if each digit must be one of the integers from 1 to 8 inclusive?
There are 8*8 = 64 such numbers.
Define what are the integers?
Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4,5,... and negative integers are-1.-2,-3.-4,-5,.... The integers are the union of the positive integers, the negative integers and 0. Integers are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2, ...}. A third definition is the integers are the union of the natural numbers, their negatives, and 0.
Does 43 have an exponential form?
All positive integers have an exponential form. For example, 43 can also be written as 431.
