extramissle
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

the first five terms of an arithmetic sequence are -1,3,7,11,15. write down, in terms of n, an expression for the nth term in this sequence

Sagot :

[tex]-1~~,~~\stackrel{-1+4}{3}~~,~~\stackrel{3+4}{7}~~,~~\stackrel{7+4}{11}~~,~~\stackrel{11+4}{15}\qquad \qquad \stackrel{\textit{common difference}}{d = 4} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\stackrel{\textit{first term}}{-1}\\ d=\stackrel{\textit{common difference}}{4} \end{cases}\implies a_n=-1+(n-1)4 \\\\\\ a_n=-1+4n-4\implies a_n=4n-5[/tex]

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.