Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

An arithmetic sequence is defined as follows:
a₁ = 92
a₁ = a₁-1-8
Find the sum of the first 28 terms in the sequence.

An Arithmetic Sequence Is Defined As Follows A 92 A A18 Find The Sum Of The First 28 Terms In The Sequence class=

Sagot :

abidemiokin

The sum of the first 28 terms in the sequence is 5600

Sum of sequence

The sum of sequences are known as series. Given the following

a₁ = 92

a₁ = ai-1 - 8

For the second term

a2 = a1 - 8

a2 = 92 - 8

a2 = 84

Determine the sum of first 28th terms

S28 = 28/2[2(92)+(28-1)(8)]

S28 = 14(184+27(8))
S28 = 14(400)
S28 = 5600

Hence the sum of the first 28 terms in the sequence is 5600

Learn more on sequence here: https://brainly.com/question/6561461

#SPJ1

sqdancefan

Answer:

  -448

Step-by-step explanation:

The sum of 28 terms of the arithmetic sequence with first term 92 and common difference -8 can be found using the formula for the sum of an arithmetic series.

  Sn = (2a1 +d(n -1))(n/2) . . . . sum of n terms with first term a1, difference d

__

series sum

Using the above formula with a1=92, d=-8, and n=28, the sum is ...

  S28 = (2·92 -8(28 -1))/(28/2) = (184 -216)(14) = -448

The sum of the first 28 terms of the sequence is -448.

View image sqdancefan
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.