We are given the arithmetic series 2, 1 3/5, 1 1/5.. In this case, the arithmetic difference is -2/5 by taking the difference of 2 and 1 3/5 and 1 3/5 and 1/5. The general formula of arithmetic sequence is an = a1 + d*(n-1). Substituting, an = 2 -2/5*(n-1). a25 hence is equal to a25 = 2-2/5*(25-1) = -38/5
Hi there!
This is pretty easy if you remember PEMDAS.
P = Parenthesis, and that's all we have in our equation so we'll work out what's in the parenthesis first.
(3×8) = 24. Then we go to the outside of the parenthesis and multiply 24 by whatever is on the outside.
24×1 =, well, 24.
Now we can go to the other side.
(8×1) = 8
8×3 = 24
Wow! Wouldja look at that? We are left with
24 = 24
The correct answer is A) True.
Hope this helps! <3
There is no rate of change of Function 1. It's slope(rate of change) is zero.
Function 2 has a slope of 2.
Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
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