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Artifacts from cave people, often referred to as prehistoric or Paleolithic humans, include tools made from stone, bone, and wood, such as hand axes and spear points. Cave paintings found in locations like Lascaux and Altamira depict animals and human activities, providing insights into their culture and beliefs. Other artifacts include carved figurines, such as the Venus figurines, which may represent fertility or femininity. Additionally, remains of shelters and hearths indicate their living conditions and social structures.
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What is the sum of all the positive proper fractions with denominators less than or equal to 100?
Consider a denominator of r; It has proper fractions: 1/r, 2/r, ...., (r-1)/r Their sum is: (1 + 2 + ... + (r-1))/r The numerator of this sum is 1 + 2 + ... + (r-1) Which is an Arithmetic Progression (AP) with r-1 terms, and sum: sum = number_of_term(first + last)/2 = (r-1)(1 + r-1)/2 = (r-1)r/2 So the sum of the proper fractions with a denominator or r is: sum{r} = ((r-1)r/2)/r = ((r-1)r/2r = (r-1)/2 Now consider the sum of the proper fractions with a denominator r+1: sum{r+1} = (((r+1)-1)/2 = ((r-1)+1)/2 = (r-1)/2 + 1/2 = sum{r) + 1/2 So the sums of the proper fractions of the denominators forms an AP with a common difference of 1/2 The first denominator possible is r = 2 with sum (2-1)/2 = ½; The last denominator required is r = 100 with sum (100-1)/2 = 99/2 = 49½; And there are 100 - 2 + 1 = 99 terms to sum So the required sum is: sum = ½ + 1 + 1½ + ... + 49½ = 99(½ + 49½)/2 = 99 × 50/2 = 2475
How do you get in to the cave when you r at the last gym leader?
It depends, which cave, and which game?
What is the sum of the infinite geometric series?
The sum of the series a + ar + ar2 + ... is a/(1 - r) for |r| < 1
What is answer to R plus R word puzzle?
Sum of r = summer
What does one fourth the sum of r and ten is identical to r minus 4 mean?
one fourth the sum of r and ten is identical to r munus 4
Sum of individual digits of number?
void main() { int num,r,sum=0; clrscr(); printf("enter the number\n"); scanf("%d",&num); while(num!=0) { r=num%10; sum=sum+r; num=num/10 } printf("The sum of individual digit of given number is=%d",sum); getch() }
What is the sum of the first 15 terms of an arithmetic?
For an Arithmetic Progression, Sum = 15[a + 7d].{a = first term and d = common difference} For a Geometric Progression, Sum = a[1-r^15]/(r-1).{r = common ratio }.
What is 5 times the sum of 5 and r?
5(r+5) is.
What is the formula for the sum of the series r(1/n2-1/n2)?
The formula for the sum of the series r(1/n2-1/n2) is r(1-1/n2).
What is the formula to find the sum of a geometric sequence?
The formula to find the sum of a geometric sequence is adding a + ar + ar2 + ar3 + ar4. The sum, to n terms, is given byS(n) = a*(1 - r^n)/(1 - r) or, equivalently, a*(r^n - 1)/(r - 1)
Where do you find r-132 in almia?
r-132 is lairon, and is found in volcano cave
Write a c program to find the area of circle?
#include<stdio.h> #define PIE 3.142 void main() { int r,sum; printf("Enter the radius of area\n"); scanf("%d",&r); sum=PIE*r*r; printf("The area of circle is:%d",sum); }
