High School

We appreciate your visit to 1 Use Gauss s Method to sum the numbers from 7 to 89 2 Use Euclid s Method to sum the sequence 1 5 25. 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!

1. Use Gauss's Method to sum the numbers from 7 to 89.

2. Use Euclid's Method to sum the sequence 1, 5, 25, 125, 625, 3125.

Answer :

1) the sum of the numbers from 7 to 89 using Gauss's Method is 4032. 2) the sum of the sequence 1, 5, 25, 125, 625, 3125 using Euclid's Method is 3906.

How to Use Gauss's Method to sum the numbers

1. Gauss's Method can be used to sum a sequence of numbers by finding the average of the first and last terms and multiplying it by the number of terms. In this case, we have a sequence from 7 to 89.

The first term, a = 7

The last term, b = 89

The number of terms, n = (b - a) + 1 = (89 - 7) + 1 = 83 + 1 = 84

The sum of the sequence can be calculated as:

Sum = (n/2) * (a + b)

= (84/2) * (7 + 89)

= 42 * 96

= 4032

Therefore, the sum of the numbers from 7 to 89 using Gauss's Method is 4032.

2. Euclid's Method is used to find the sum of a geometric sequence. In this case, we have the sequence 1, 5, 25, 125, 625, 3125.

To find the sum of this sequence, we can use the formula:

Sum =[tex]a * (r^n - 1) / (r - 1)[/tex]

Here, a = 1 (the first term)

r = 5 (the common ratio)

n = 6 (the number of terms)

Using these values, we can calculate the sum as follows:

Sum = [tex]1 * (5^6 - 1) / (5 - 1)[/tex]

= 1 * (15625 - 1) / 4

= 15624 / 4

= 3906

Therefore, the sum of the sequence 1, 5, 25, 125, 625, 3125 using Euclid's Method is 3906.

Learn more about sequence at https://brainly.com/question/30762797

#SPJ4

Thanks for taking the time to read 1 Use Gauss s Method to sum the numbers from 7 to 89 2 Use Euclid s Method to sum the sequence 1 5 25. 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!

Rewritten by : Barada