Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Find the indicated term of each arithmetic sequence.

37th term: a(1)=-3; d=2.8

Sagot :

ollieboyne
In an arithmetic sequence, a certain amount is added every time to reach the next value.
eg 3,6,9,12

Each time, 3 is added to reach the next value.

So starting from the original value (a), and given the amount it increases by (d), we can calculate the value of any term in an arithmetic sequence.

For a given term in an arithmetic sequence, it's value can be expressed as:

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

Substituting in the values you have given ([tex]a=-3, d=2.8)[/tex], we get:

[tex]u_{37} = -3 + (37-1)2.8 \\u_{37} = 100.8 -2 \\u_37 = 97.8[/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.