What is the sum of the first 10 terms of the sequence defined by the formula 3n + 3?

The sequence defined by the formula 3n + 3 can be expressed by substituting the values of n starting from 1. Let’s derive the first 10 terms:

1. For n = 1: 3(1) + 3 = 6
2. For n = 2: 3(2) + 3 = 9
3. For n = 3: 3(3) + 3 = 12
4. For n = 4: 3(4) + 3 = 15
5. For n = 5: 3(5) + 3 = 18
6. For n = 6: 3(6) + 3 = 21
7. For n = 7: 3(7) + 3 = 24
8. For n = 8: 3(8) + 3 = 27
9. For n = 9: 3(9) + 3 = 30
10. For n = 10: 3(10) + 3 = 33

Now, let’s list the first 10 terms:

• Term 1: 6
• Term 2: 9
• Term 3: 12
• Term 4: 15
• Term 5: 18
• Term 6: 21
• Term 7: 24
• Term 8: 27
• Term 9: 30
• Term 10: 33

Next, we can sum these values:

Sum = 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 + 33

Calculating this step by step gives:

• 6 + 9 = 15
• 15 + 12 = 27
• 27 + 15 = 42
• 42 + 18 = 60
• 60 + 21 = 81
• 81 + 24 = 105
• 105 + 27 = 132
• 132 + 30 = 162
• 162 + 33 = 195

Therefore, the sum of the first 10 terms of the sequence defined by 3n + 3 is 195.