Question

Арифметическая прогрессия (Ап )задана условиями: а1=-4,Ап+1=Ап+9 найдите а7 Зарания спасибо )))

Answer 1

Выразим формулу не рекурентно: an=a1 + 9 * (n-1) Значит ответ 50

Answer 2

Arithmetic Progression (AP) Problem

To find the 7th term (a7) of an arithmetic progression (AP) when a1 = -4 and a10 = a1 + 9, we can use the formula for the nth term of an AP:

a_n = a_1 + (n - 1)d

Where: - a_n is the nth term - a_1 is the first term - d is the common difference - n is the term number

Calculation

Given: - a1 = -4 - a10 = a1 + 9

We can calculate the common difference (d) using the given information: a10 = a1 + 9 -4 + 9 = a1 + 9 5 = a1

Now we can find the common difference: d = a2 - a1 d = a1 + 1 - a1 d = 1

Now, we can find a7 using the formula: a7 = a1 + (7 - 1)d a7 = -4 + 6 * 1 a7 = -4 + 6 a7 = 2

So, the 7th term (a7) of the given arithmetic progression is 2.