SOLUTION: Use Gauss's approach to find the following sums(do not use formulas). a. 1+2+3+4+...+99 b. 1+3+5+7+...+97 a. The sum of the sequence is? b. the sum of the sequence is?

Question 764843: Use Gauss's approach to find the following sums(do not use formulas).
a. 1+2+3+4+...+99
b. 1+3+5+7+...+97
a. The sum of the sequence is?
b. the sum of the sequence is?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

a. 1+2+3+4+...+99

b. 1+3+5+7+...+97
first find the sum 1+2+3+4+...+97

since you have only odd numbers, it will be half of which is
so, the sum of 1+3+5+7+...+97 is

RELATED QUESTIONS
Use Gauss approach to find the sum. (do not use formulas) 1+3+5+7+...+997 (answered by richwmiller)

use auss approach to find the following sums A. 1,+2,+3,+4,+...+98 B.... (answered by stanbon)

use Gauss approach to find the following signs (do not use formulas0. a.... (answered by rothauserc)

Use the approach in Gauss's Problem to find the following sums of arithmetic sequences... (answered by Edwin McCravy)

Use Gauss's approach to find the following sums (do not use a formula).... (answered by stanbon)

Use Gauss'e approach to find the following sum (Do not use formulas): 3+9+15+21+...69 (answered by Edwin McCravy)

Refer to the data set of body temperatures in degrees Fahrenheit given in the... (answered by ikleyn)

Use gauss approach to find the sum of... (answered by Edwin McCravy)

Please help me solve this equation: Use the Gauss technique to determine the sum for the... (answered by Jk22)