1. What is the sum of the 10 consecutive integers starting from 4 ?

To find the sum of 10 consecutive integers starting from 4, you can first identify the integers: 4, 5, 6, 7, 8, 9, 10, 11, 12, 13. The easiest way to sum them is to use the formula for the sum of an arithmetic series:

Sum = n/2 × (first term + last term), where n is the number of terms.

Here, n = 10, the first term is 4, and the last term is 13. So,

Sum = 10/2 × (4 + 13) = 5 × 17 = 85.

Thus, the sum of the 10 consecutive integers starting from 4 is 85!

Every number has its own unique attributes, just like the beautiful patterns in nature! Think of how these consecutive integers represent a small section of the infinite number line, where addition unites them like a bridge of connection in mathematics.

And if you’re ever puzzled, remember that breaking down problems into simpler parts often reveals the hidden beauty behind the numbers! Try using the average of the first and last terms; it often simplifies calculations significantly, ensuring no sums get tangled along the way!