We appreciate your visit to Write out the first five terms of the sequence tex a n 4 4n 3 tex A tex 1 5 9 13 17 tex B. 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!
Answer :
To write out the first five terms of the sequence given by the formula [tex]\( a_n = 4(4n - 3) \)[/tex], follow these steps:
1. Find the first term ([tex]\( a_1 \)[/tex]):
- Substitute [tex]\( n = 1 \)[/tex] into the formula:
[tex]\[
a_1 = 4(4 \times 1 - 3) = 4(4 - 3) = 4 \times 1 = 4
\][/tex]
2. Find the second term ([tex]\( a_2 \)[/tex]):
- Substitute [tex]\( n = 2 \)[/tex] into the formula:
[tex]\[
a_2 = 4(4 \times 2 - 3) = 4(8 - 3) = 4 \times 5 = 20
\][/tex]
3. Find the third term ([tex]\( a_3 \)[/tex]):
- Substitute [tex]\( n = 3 \)[/tex] into the formula:
[tex]\[
a_3 = 4(4 \times 3 - 3) = 4(12 - 3) = 4 \times 9 = 36
\][/tex]
4. Find the fourth term ([tex]\( a_4 \)[/tex]):
- Substitute [tex]\( n = 4 \)[/tex] into the formula:
[tex]\[
a_4 = 4(4 \times 4 - 3) = 4(16 - 3) = 4 \times 13 = 52
\][/tex]
5. Find the fifth term ([tex]\( a_5 \)[/tex]):
- Substitute [tex]\( n = 5 \)[/tex] into the formula:
[tex]\[
a_5 = 4(4 \times 5 - 3) = 4(20 - 3) = 4 \times 17 = 68
\][/tex]
After calculating the terms, the first five terms of the sequence are: [tex]\( 4, 20, 36, 52, 68 \)[/tex].
Therefore, the correct answer is option D: [tex]\( 4, 20, 36, 52, 68 \)[/tex].
1. Find the first term ([tex]\( a_1 \)[/tex]):
- Substitute [tex]\( n = 1 \)[/tex] into the formula:
[tex]\[
a_1 = 4(4 \times 1 - 3) = 4(4 - 3) = 4 \times 1 = 4
\][/tex]
2. Find the second term ([tex]\( a_2 \)[/tex]):
- Substitute [tex]\( n = 2 \)[/tex] into the formula:
[tex]\[
a_2 = 4(4 \times 2 - 3) = 4(8 - 3) = 4 \times 5 = 20
\][/tex]
3. Find the third term ([tex]\( a_3 \)[/tex]):
- Substitute [tex]\( n = 3 \)[/tex] into the formula:
[tex]\[
a_3 = 4(4 \times 3 - 3) = 4(12 - 3) = 4 \times 9 = 36
\][/tex]
4. Find the fourth term ([tex]\( a_4 \)[/tex]):
- Substitute [tex]\( n = 4 \)[/tex] into the formula:
[tex]\[
a_4 = 4(4 \times 4 - 3) = 4(16 - 3) = 4 \times 13 = 52
\][/tex]
5. Find the fifth term ([tex]\( a_5 \)[/tex]):
- Substitute [tex]\( n = 5 \)[/tex] into the formula:
[tex]\[
a_5 = 4(4 \times 5 - 3) = 4(20 - 3) = 4 \times 17 = 68
\][/tex]
After calculating the terms, the first five terms of the sequence are: [tex]\( 4, 20, 36, 52, 68 \)[/tex].
Therefore, the correct answer is option D: [tex]\( 4, 20, 36, 52, 68 \)[/tex].
Thanks for taking the time to read Write out the first five terms of the sequence tex a n 4 4n 3 tex A tex 1 5 9 13 17 tex B. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
