Knowee
Questions
Features
Study Tools

For the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms?221243200187

Question

For the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms?221243200187

🧐 Not the exact question you are looking for?Go ask a question

Solution

The sum of an arithmetic sequence can be found using the formula:

Sum = n/2 * (a + l)

where: n = number of terms a = first term l = last term

In this case, the arithmetic sequence starts with 5 and has a common difference of 1. So, the 17th term would be 5 + (17-1)*1 = 21.

Now, we can substitute these values into the formula:

Sum = 17/2 * (5 + 21) = 221.

Similar Questions

Find the sum of the first 10 terms of the arithmetic sequence: 5, 9, 13, 17, ...

n a certain arithmetic progression, the sum of the first and fifth terms is 18 and the fifth term is 6 more than thethird term. Find the sum of the first ten terms of the progression

What is the sum of the first 21 terms of the series given below?1 – 5 + 4 – 9 + 7 – 13 + 10 – 17 + ……………

What will be the sum of the sequence up to 5th term 9, 36, 144, 576, ...? 3069 3070 3071 3072

Consider the following series: 10, 17, 24, ... . What is the sum of the first 16 terms of the series?Group of answer choices100078221301236

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.