Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

If an arithmetic sequence has terms a5 = 20 and a9 = 44, what is a15? 90 80 74 35

Sagot :

In order to find the 15th term of the sequence, first let's find the common rate with the formula:

[tex]a_n=a_p+(n-p)\cdot r[/tex]

Where r is the common rate. So, using n = 9 and p = 5, we have:

[tex]\begin{gathered} a_9=a_5+(9-5)\cdot r \\ 44=20+4\cdot r \\ 4r=44-20 \\ 4r=24 \\ r=\frac{24}{4} \\ r=6 \end{gathered}[/tex]

Then, let's use n = 15 and p = 9 to find the 15th term:

[tex]\begin{gathered} a_{15}=a_9+(15-9)\cdot6 \\ a_{15}=44+6\cdot6 \\ a_{15}=44+36 \\ a_{15}=80 \end{gathered}[/tex]

Therefore the correct option is the second one.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.