Question**: A sequence is defined as $ a_n = 3n + 2 $. What is the 10th term of the sequence?

Understanding the Sequence $ a_n = 3n + 2 $: What Is the 10th Term?

In mathematics, sequences define ordered lists of numbers following a specific rule. One common type is an arithmetic sequence, where each term increases by a fixed amount. The sequence defined by $ a_n = 3n + 2 $ is a classic example of a linear sequence with a constant difference.

What is the 10th Term of the Sequence?

Understanding the Context

To find the 10th term ($ a_{10} $) in the sequence given by the formula $ a_n = 3n + 2 $, simply substitute $ n = 10 $:

\[
a_{10} = 3(10) + 2 = 30 + 2 = 32
\]

So, the 10th term is 32.

How Does This Sequence Work?

Solved The nth term of sequence A is 3n - 2 The nth term of | Chegg.com

Image Gallery

$term by I_{n} \cdot IPLES OF AP Show that the sequence defined by T_{n}=3..$

Solved: What is the rule for the nth term of the sequence given below ...

[ANSWERED] Find the 10 th term a 10 for the sequence a n 3n 9 - Kunduz

Solved: The nth term of a sequence is 3n+2 a) Work out the first three ...

Key Insights

The general term $ a_n = 3n + 2 $ shows a clear linear relationship. For each positive integer $ n $, multiplying $ n $ by 3 and adding 2 generates the corresponding term:

When $ n = 1 $: $ a_1 = 3(1) + 2 = 5 $
- When $ n = 2 $: $ a_2 = 3(2) + 2 = 8 $
- When $ n = 3 $: $ a_3 = 3(3) + 2 = 11 $
- …
- When $ n = 10 $: $ a_{10} = 32 $

This consistency allows us to confidently compute any term directly using the formula.

Why Is This Sequence Important?

Understanding how to calculate terms in sequences like $ a_n = 3n + 2 $ is essential in algebra, computer science, and real-world applications. Such formulas help model linear growth, plan budgets, or simulate patterns in data.

🔗 Related Articles You Might Like:

📰 What Hidden Secrets Do Tran Ny Tube Hold in Every Curve and Bend? 📰 You Won’t Believe What Happens When You Push Through Tran Ny Tube 📰 The Untold Truth Behind Tran Ny Tube Around Every Corner 📰 This Simple Card Said More Than Wordswatch What Happens When You Send It 📰 This Simple Cat Window Box Setup Will Make Your Feline Star Overnight 📰 This Simple Caution Sign Could Prevent You From A Life From The Dead Scenariodont Risk It 📰 This Simple Curved Capital F In Cursive Unlocks Secret Design Genius 📰 This Simple Cut Is Dominating Salons Can Your Hair Handle The Caesar Cut Now 📰 This Simple Drop Ceiling Tile Hack Wont Quit For Your Home Aesthetics 📰 This Simple Hack To Freeze Watermelon Will Change Your Summer Try It Now 📰 This Simple Hack Will Change How You Use An Air Fryer But Avoid Tin Foil At All Costs 📰 This Simple Pasta Cooking Hack With Campanelle Will Change Your Dinner Game Forever 📰 This Simple Pulp Proves Bananas Are A Chicken Superfood Dont Miss Out 📰 This Simple Step By Step Cat Face Drawing Will Steal Your Heartwatch Now 📰 This Simple Superfood Can Boost Your Dogs Healthheres Why 📰 This Simple Trick Lets You Freeze Hard Boiled Eggsand Its Total Game Changer 📰 This Simple Trick Reveals If Your Pickles Have Gone Baddont Miss It 📰 This Simple Trick To Freeze Cottage Cheese Is A Game Changer Try It Now

Final Thoughts

In summary:
The 10th term of the sequence defined by $ a_n = 3n + 2 $ is 32. By plugging $ n = 10 $ into the formula, any term in this arithmetic sequence can be found quickly and accurately.

If you're exploring sequences, remember: linear formulas like $ a_n = an + b $ offer an easy pathway to compute individual terms and recognize patterns across the sequence.