Question

Which of the following is the correct expanded form for the series below?

Answer 1

Answer:

The First one

Step-by-step explanation:

just put n terms into the bottom

Answer 2

The experssion that represents the correct expansion of the considered series is given by: Option A: 7 + 7/2 + 7/3 + 7/4

How does sum notation works?

$\sum^b_{i=a} f(i)$

is a notation that is a compact form of:

$f(a) + f(a+1) + f(a+2) + \cdots + f(b)$

Thus, we get:

$\sum^b_{i=a} f(i) = f(a) + f(a+1) + f(a+2) + \cdots + f(b)$

Now, we've to expand the series given by: $\sum^4_{n=1} \dfrac{7}{n}$

Its expanded form will be sum of $7/n$ for n = 1, 2, 3, and 4

Thus, we get:

$\sum^4_{n=1} \dfrac{7}{n} = \dfrac{7}{1} + \dfrac{7}{2} + \dfrac{7}{3} + \dfrac{7}{4}\\\\\sum^4_{n=1} \dfrac{7}{n} = 7 + \dfrac{7}{2} + \dfrac{7}{3} + \dfrac{7}{4}$

Thus, the experssion that represents the correct expansion of the considered series is given by: Option A: 7 + 7/2 + 7/3 + 7/4

Learn more about summation notation here:

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