Would you like this assignment to be marked?YESNOMA104 Lab Report 7 - Sequences and SeriesName:Student Number:Winter 20191. [4marks] Consider the seriesanwherean= ln4n-34n+ 1.(a) Find a formula, in closed form, for thekthpartial sumsk. [Hint: Use properties of logarithms.]∞∑n=1
(b) Use the result in part (a) to determine whether the seriesanconverges or diverges.
2. [8marks] Recall thesnowflake curveorKoch snowflake(from question 2 on Lab 7) is constructed from an equilateraltriangle with side length 1 (Figure 1).Figure 1Figure 2Figure 3Figure 4n= 0n= 1n= 2n= 3Last week, we determined that the sequencepn= 343n,n≥0, represents the perimeter at stagen(note thatlimn→∞pn=∞). This week, we will consider the area of the snowflake curve.(a) Leta