The sum of the first n terms of a sequence is given by 4-4(1/2)^n.calculate the first 3 terms
term(1) = 4 - 4(1/2)^1 = 4 - 2 = 2
term(2) = 4 - 4(1/2)^2= 4-4(1/4) = 3
term(3) = 4-4(1/2)^3
= 4 - 4(1/8)
= 4 - 4/8
= 4 - 1/2 = 3 1/2 or 7/2 or 3.5
so to get any term, e.g. term(5), replace n with the term number you want, in this case n=5
To calculate the first 3 terms of the given sequence, we need to substitute the values 1, 2, and 3 into the given formula and evaluate each term.
The formula to calculate the sum of the first n terms of the sequence is given by: 4 - 4(1/2)^n.
Let's calculate the first term (n = 1):
Plug in n = 1 into the formula: 4 - 4(1/2)^1.
Simplifying this expression, we have: 4 - 4(1/2).
Multiplying, we get: 4 - 2.
The first term is 2.
Now let's calculate the second term (n = 2):
Plug in n = 2 into the formula: 4 - 4(1/2)^2.
Simplifying this expression, we have: 4 - 4(1/4).
Multiplying, we get: 4 - 1.
The second term is 3.
Finally, let's calculate the third term (n = 3):
Plug in n = 3 into the formula: 4 - 4(1/2)^3.
Simplifying this expression, we have: 4 - 4(1/8).
Multiplying, we get: 4 - 1/2.
The third term is 3.5.
Therefore, the first 3 terms of the sequence are: 2, 3, and 3.5.