need to solve the first five terms recursively. Can do the other four once I get the first one.
a[n]=a[n-1]/2 and a[1]=-8
To find the first term of the sequence, which is a[1], we can use the given equation:
a[n] = a[n-1]/2
We are also given that a[1] = -8.
Since the first term is already given, we can substitute n = 2 into the equation to find the second term:
a[2] = a[1]/2
Substituting the given value of a[1]:
a[2] = -8/2 = -4
Now we can use the same formula to find the third term:
a[3] = a[2]/2
Substituting the value of a[2]:
a[3] = -4/2 = -2
Continuing in the same way, we can find the fourth term:
a[4] = a[3]/2
= (-2)/2
= -1
Finally, using the formula, we can find the fifth term:
a[5] = a[4]/2
= (-1)/2
= -0.5
So, the first five terms of the sequence are:
a[1] = -8
a[2] = -4
a[3] = -2
a[4] = -1
a[5] = -0.5
You can continue this pattern to find the next four terms by plugging in the previous term into the given recursive equation.