Express the sum using sigma notation
1+ 5/6+ 6/8+ 7/10 + 8/12
To express the sum using sigma notation, we need to identify the pattern in the terms of the series.
Looking at the given terms: 1, 5/6, 6/8, 7/10, 8/12
We can notice that the numerator increases by 1 in each term, and the denominator increases by 2 in each term. So, we can write the general term of the series as:
aₙ = (n + 1) / (n + 6)
To express this sum using sigma notation, we can use the Greek letter sigma (Σ) and the general term (aₙ) as follows:
∑ (n=1 to 5) [(n + 1) / (n + 6)]
This expression means that we are summing the terms from n=1 to n=5, where each term is given by (n + 1) / (n + 6).
a) Σ^6 k+1/2k
b) Σ^6 k+2/2k
c) Σ^6 k+2/2^k
d) Σ^7 (1+(k+1)/(k+2))
a,b,and c the symbol of sigma sign has k=2 on the top but the last one has k=4. These options or answers are different. I have to choose one of them
first and middle name. my friends call me Maria and my teacher Alice. Sorry
sigma (3+n)/(2+2n) n=1 to infinity
Maria/Alice -- why did you change names?
I agree with bob's expression.
If there are only 5 terms, and they are:
1+ 5/6+ 6/8+ 7/10 + 8/12
= 4/4 + 5/6 + 6/8 + 7/10 + 8/12
= Σ (n+3)/(2n+2) from n = 1 to 5
In the standard notation of sigma , the index usually starts at 1.
The choices you give are not standard answers.