Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

write the explicit formula for an, nth the term of the sequence 17,20,23

Sagot :

Answer:  17+3(n-1)

This simplifies to 3n+14

========================================

Explanation:

[tex]a_1 = 17[/tex] is the first term

[tex]d = 3[/tex] is the common difference, or the gap between terms. Eg: the jump from 17 to 20 is +3.

This means the nth term is...

[tex]a_n = a_1 + d(n-1)\\\\a_n = 17+3(n-1)\\\\a_n = 17 + 3n-3\\\\a_n = 3n+14[/tex]

As a check, if we tried something like n = 2, then,

[tex]a_n = 3n+14\\\\a_2 = 3*2+14\\\\a_2 = 20[/tex]

which matches with the second term of the sequence your teacher gave you. I'll let you check the other terms.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.