Question

5,4; 4,8; 4,2; ...d=a201=​

Answer 1

Чтобы найти каждый следующий элемент последовательности, нужно от предыдущего вычесть 0,6, так как каждый элемент на 0,6 меньше предыдущего.

Таким образом,

d = 4,2 - 0,6 = 3,6

a201 = ... -1,2; -1,8; -2,4; -3; -3,6; -4,2; -4,8; -5,4; -6; -6,6; -7,2; -7,8; -8,4; -9; -9,6; -10,2; -10,8; -11,4; -12; -12,6; -13,2; -13,8; -14,4; -15

Answer 2

To find the common difference (d) in the arithmetic sequence, we can use the formula:

d = a(n) - a(n-1),

where d is the common difference, a(n) is the nth term, and a(n-1) is the (n-1)th term.

In the given sequence, we have the following terms: a(1) = 5, a(2) = 4, a(3) = 4, ...

To find d, we can use the values of a(2) and a(1):

d = a(2) - a(1) = 4 - 5 = -1.

Therefore, the common difference (d) in the given arithmetic sequence is -1.

Now, to find a(201), we can use the formula for the nth term in an arithmetic sequence:

a(n) = a(1) + (n - 1) * d,

where a(n) is the nth term, a(1) is the first term, n is the position of the term, and d is the common difference.

Using the given information, we can substitute the values into the formula:

a(201) = a(1) + (201 - 1) * d = 5 + (201 - 1) * (-1) = 5 + 200 * (-1) = 5 - 200 = -195.

Therefore, a(201) in the given arithmetic sequence is -195.