High School

We appreciate your visit to What are the first five terms of the following sequence Given tex a 1 25 a n a n 1 5 tex A 5 10. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What are the first five terms of the following sequence?

Given: [tex] a_1 = 25, \ a_n = a_{n-1} - 5 [/tex]

A. 5, 10, 15, 20, 25
B. 25, 5, 1, [tex]\frac{1}{5}[/tex], [tex]\frac{1}{25}[/tex]
C. 25, 20, 15, 10, 5
D. 25, 30, 35, 40, 45

Answer :

To find the first five terms of the sequence given by [tex]\(a_1 = 25\)[/tex] and [tex]\(a_n = a_{n-1} - 5\)[/tex], follow these steps:

1. Start with the first term:
The first term is given as [tex]\(a_1 = 25\)[/tex].

2. Find the second term:
Using the rule [tex]\(a_n = a_{n-1} - 5\)[/tex], the second term is:
[tex]\[
a_2 = a_1 - 5 = 25 - 5 = 20
\][/tex]

3. Find the third term:
Again, apply the rule to find the third term:
[tex]\[
a_3 = a_2 - 5 = 20 - 5 = 15
\][/tex]

4. Find the fourth term:
Continue applying the rule for the fourth term:
[tex]\[
a_4 = a_3 - 5 = 15 - 5 = 10
\][/tex]

5. Find the fifth term:
Finally, apply the rule once more to get the fifth term:
[tex]\[
a_5 = a_4 - 5 = 10 - 5 = 5
\][/tex]

So, the first five terms of the sequence are [tex]\(25, 20, 15, 10, 5\)[/tex].

Thanks for taking the time to read What are the first five terms of the following sequence Given tex a 1 25 a n a n 1 5 tex A 5 10. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada