Question

For the sequence a n​ =2(a n−1 −2) and a 1 =4, its first term is its second term is its third term is its fourth term is its fifth term is

Answer 1

The terms of the sequence are all equal to 4.

Step-by-step explanation:

The given sequence is defined as an = 2(an-1 - 2) with a1 = 4.

To find the terms of the sequence, we can start by substituting the given value of a1 into the formula: a1 = 2(a1-1 - 2).

Simplifying, we get a1 = 2(a0 - 2), which becomes 4 = 2(a0 - 2).

Now, we can solve for a0. Dividing both sides of the equation by 2 and adding 2 to both sides gives us a0 = 4.

Therefore, the first term a1 is 4, the second term a2 is also 4, the third term a3 is 4, the fourth term a4 is 4, and the fifth term a5 is 4 as well.