Question

Пожалуйста помогите Знайдіть суму ста перших членів арифметичної прогресії (аn), якщо а1 = 2, а100 = 198.

Answer 1

Ответ:

S100=10 000

Объяснение:

решение внизу

Answer 2

I can help you with your math question.

The sum of the first n terms of an arithmetic progression is given by the formula:

$$S_n = \frac{n}{2}(a_1 + a_n)$$

where $a_1$ is the first term, $a_n$ is the nth term, and $n$ is the number of terms.

In your case, you want to find the sum of the first 100 terms, so $n = 100$. You also know that $a_1 = 2$ and $a_{100} = 198$. Plugging these values into the formula, you get:

$$S_{100} = \frac{100}{2}(2 + 198)$$

Simplifying, you get:

$$S_{100} = 50 \times 200$$

Multiplying, you get the final answer:

$$S_{100} = 10000$$

Therefore, the sum of the first 100 terms of the arithmetic progression is 10000.

I hope this helps. If you want to learn more about arithmetic progressions, you can check out [this article](https://yukhym.com/uk/matematika/znaity-sumu-aryfmetychnoi-prohresii.html).