Question

Найдите первый член и разность арифметической прогрессии a1+a10=12 a8-a5=4 помогите пожалуйста!!!заранее спасибо

Answer 1

Finding the First Term and Common Difference of an Arithmetic Progression

To find the first term and common difference of an arithmetic progression, we can use the given information:

1. The sum of the first and tenth terms is 12: a1 + a10 = 12 2. The difference between the eighth and fifth terms is 4: a8 - a5 = 4

Let's solve for the first term (a1) and the common difference.

First, we can express the terms of the arithmetic progression in terms of the first term (a1) and the common difference (d): - The nth term of an arithmetic progression is given by: an = a1 + (n-1)d

Using the given information, we can set up the following equations:

1. From the sum of the first and tenth terms: a1 + a10 = 12 2. From the difference between the eighth and fifth terms: a8 - a5 = 4

We can then solve these equations to find the values of a1 and d.

Let's proceed with the calculations.