Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
The 100th term in the sequence 5, 9, 13, 17,.. is term 401.
The arithmetic sequence:
5, 9, 13, 17,...
To find,
Which term of the arithmetic sequence 5, 9, 13, 17,...is 401.
Concept,
For a given A.P. sequence if the first term is 'a', the common difference is 'd', then the aₙth term is given by:
aₙ = a + (n - 1)d....(1)
Calculation,
Here in the given sequence:
5, 9, 13, 17,..
a = 5, d = 9 - 5 = 4, and aₙ = 401, n = n, substitute in equation (1)
401 = 5 + (n - 1)4
⇒ 396 = (n - 1)4
⇒ n - 1 = 99
⇒ n = 100
Therefore, the 100th term in the sequence 5, 9, 13, 17,.. is term 401.
Learn more about Arithmetic Sequence at:
https://brainly.com/question/6561461
#SPJ4
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
