Questions: Write the first five terms of the sequence whose general term, (an), is given as (an=6 n-1).

Write the first five terms of the sequence whose general term, (an), is given as (an=6 n-1).
Transcript text: Write the first five terms of the sequence whose general term, $a_{n}$, is given as \[ \begin{array}{l} \text { Write the first five terms of the sequence whose } \\ \text { general term, } a_{n} \text {, is given as } \\ a_{n}=6 n-1 \end{array} \]
failed

Solution

failed
failed

Solution Steps

To find the first five terms of the sequence, we need to substitute the values \( n = 1, 2, 3, 4, \) and \( 5 \) into the general term formula \( a_n = 6n - 1 \). This will give us the first five terms of the sequence.

Step 1: Identify the General Term

The general term of the sequence is given by \( a_n = 6n - 1 \).

Step 2: Substitute Values to Find Terms

To find the first five terms, substitute \( n = 1, 2, 3, 4, \) and \( 5 \) into the general term formula:

  • For \( n = 1 \): \[ a_1 = 6 \times 1 - 1 = 5 \]

  • For \( n = 2 \): \[ a_2 = 6 \times 2 - 1 = 11 \]

  • For \( n = 3 \): \[ a_3 = 6 \times 3 - 1 = 17 \]

  • For \( n = 4 \): \[ a_4 = 6 \times 4 - 1 = 23 \]

  • For \( n = 5 \): \[ a_5 = 6 \times 5 - 1 = 29 \]

Final Answer

The first five terms of the sequence are \(\boxed{5, 11, 17, 23, 29}\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
What is a box plot? Provide examples of box plots. What are misleading graphs? What are some things to look out for to spot a misleading graph?
failedAnswered
Christy purchased 100 shares of Good Idea stock for 48 last year. Yesterday she sold the stock for 45. If she received 4 in dividends during the time she held the security, what is her holding period return (round % to 2 decimals)? a. 208 % b. 8.30 % c. 14.60 % d. 6.30 %
failedAnswered
For each stage in the multistage sampling plan of this study, identify the sampling technique that was used: From each region, 5 representative counties are selected. (In total, all the claims originating from 35 counties are examined.) cluster sampling simple random sample stratified sampling
failedAnswered
Budgeting Decision Point Managers - Google Chrome pe-xl-prod.knowdl.com/content/qualsims/accounting/budgetingsim/v2/player/#/265d911b8dd98f8f2e9d60cac9346771qualsimsaccountingbudgetingsimmillernoblesmattison7/ Decision Point: Managers Timing for your budgeting process review, including a draft of comprehensive first quarter budgets, should not be a constraint since you are only at the halfway point in the current fiscal year when you kick off your review. That being said, you can't get very far until the team determines who should be involved in the budgeting process. Which managers should participate in the budgeting process? Select an option from the choices below and click Submit. Top-level managers only since they establish the company's goals and formulate business strategies. This top-down approach for establishing the budget will ensure company resources are in line with the long-term strategic plans. Include all levels of management since managers will be more motivated by the budgets if they have a say in creating them.
failedAnswered
A company issued 7%, 5-year bonds with a par value of 100,000. The market rate when the bonds were issued was 7.5%. The company received 97,948 cash for the bonds. Using the effective interest method, compute the amount of interest expense for the second semiannual interest period (round to 2 decimals). Multiple Choice 3,679.54. 7,346.03 7,000.00 3,500.00 3,673.01.