Question

Как можно найти сорок первый член арифметической прогрессии, если известно а1 и а2????

Answer 1

a2-a1=d, - разница прогрессии

a41=a1+40d

Answer 2

Finding the 41st Term of an Arithmetic Progression

To find the 41st term of an arithmetic progression when the first term (a1) and the second term (a2) are known, we can use the formula:

an = a1 + (n - 1)d

Where: - an is the nth term - a1 is the first term - n is the term number - d is the common difference between terms

Applying the Formula

In this case, we are given a1 and a2, and we need to find the 41st term. We can use the given information to find the common difference (d) and then apply the formula to find the 41st term.

Given: - a1 = 1 - a2 = 9

We can find the common difference (d) using the formula: d = a2 - a1

d = 9 - 1 d = 8

Now, we can use the formula an = a1 + (n - 1)d to find the 41st term: a41 = 1 + (41 - 1) * 8 a41 = 1 + 40 * 8 a41 = 1 + 320 a41 = 321

Therefore, the 41st term of the arithmetic progression is 321.