Question

If a1 = 3 and an = 4an - 1 - 4 then find the value of a3

Answer 1

Answer:

28

Explanation:

Given that a1 = 3 and an = 4an-1 - 4

to find a3 we can substitute the value of a3 in terms of a2 and a1.

a3 = 4a2 - 4

and a2 = 4a1 - 4

substituting a2 and a1 in terms of their values we get

a3 = 4(4a1 - 4) - 4

substituting the given value of a1 we get

a3 = 4(4*3 - 4) - 4

a3 = 4(8) - 4 = 32 - 4 = 28

So the value of a3 is 28.

Answer 2

Answer:
the value of a3 is 39.

Explanation:

The given equation is a recursive formula for the sequence a(n) = 4a(n-1) - 1 - 4. This means that a(n) is defined in terms of the previous term in the sequence, a(n-1).

Given that a1 = 3, we can use this as the starting point and apply the recursive formula repeatedly to find the value of a3.

a2 = 4a1 - 1 - 4 = 4(3) - 1 - 4 = 11

a3 = 4a2 - 1 - 4 = 4(11) - 1 - 4 = 39

So the value of a3 is 39.