Question

A1=24, a46=81. Знайти d

Answer 1

Ответ:

1 4/15.

Объяснение:

а46 = а1 + d•(46-1)

а46 = а1 + 45d

45d = a46 - a1 = 81-24=57

d = 57:45

d = 57/45

d = 1 12/45

d = 1 4/15.

Answer 2

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

an = a1 + (n - 1) * d

where: an is the nth term, a1 is the first term, n is the position of the term in the sequence, and d is the common difference.

Given that a1 = 24 and a46 = 81, we can plug in these values to form two equations:

a1 = 24 = a1 + (1 - 1) * d --> 24 = a1 + 0 a46 = 81 = a1 + (46 - 1) * d --> 81 = a1 + 45d

From the first equation, we can deduce that a1 = 24.

Substituting a1 = 24 into the second equation:

81 = 24 + 45d

Rearranging the equation to solve for d:

57 = 45d

d = 57 / 45 d ≈ 1.2667

Therefore, the common difference (d) is approximately 1.2667.