Get insightful responses to your questions quickly and easily on IDNLearn.com. Our platform is designed to provide accurate and comprehensive answers to any questions you may have.

What is the sum of the numbers in the series below? 15 11 7 . . . (–129)

Sagot :

Using Gauss's method, the sum of the numbers in the given series [ 15 11 7 . . . . ( –129 ) ] is -2664.

What is an arithmetic sequence?

An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.

From Gauss's method nth term is an arithmetic sequence is expressed as;

n = (( first term - last term )/d) + 1

d is the common difference between terms.

Given the series in the question;

15 11 7 . . . (–129)

d = 15 - 11 = 4

Next, we find n

n = (( first term - last term )/d) + 1

n = (( 15 - (-129))/4) + 1

n = ( 144/4 ) + 1

n = 36 + 1

n = 37

Now, using the common difference between terms the sun will be;

S = 15 + 11 + 7 . . . -125 -129

Also

S = -129 -125 . . . + 7 + 11 + 15

We add

2S = -114, 114, 114 . . . . n

Hence, the sum will be;

2S = ( -114 ) × n

2S = ( -114 ) × 37

2S = -5328

S = -5328 / 2

S = -2664

Therefore, using Gauss's method, the sum of the numbers in the series [ 15 11 7 . . . (–129) ] is -2664.

Learn more about arithmetic sequence here: brainly.com/question/15412619

#SPJ4

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.