Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

In a line of students, Jenna is number 8.The teacher says that a rule for a number pattern is add 4. The first student inline says the first term, 7. What number should Jenna say?

Sagot :

shanzunicornz
7 , 11 , 15,19,23,27,31,35. Jenna should say 35.

Answer:

Formula for nth term in Arithmetic sequences is:

[tex]a_n =a+(n-1)d[/tex]

where a is the first term, d is the common difference and n is the number of terms.

As per the statement:

The rule for the pattern is add 4.

As the first term in line says the first term i,e 7

[tex]a= 7[/tex]

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

7, 11, .........[tex]a_8[/tex]

We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

[tex]a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35[/tex]

Therefore, 35 number should Jenna say.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.