Thenursinghub prides itself on its specialization in the all academic fields. This focus sets them apart as a writing company that fully comprehends the intricacies and challenges faced by students. Their team comprises skilled writers who possess not only advanced degrees but also practical experience in the industry. This expertise allows them to craft papers that reflect a deep understanding of nursing concepts, procedures, and standards. The company follows stringent quality assurance measures to ensure that all papers meet the highest academic standards. Each paper undergoes a thorough review process, which includes rigorous proofreading, editing, and plagiarism checks. By prioritizing quality, Thenursinghub ensures that nursing students receive well-researched, accurately cited, and flawlessly written papers.

**Assignment 12.1: Applying Number Theory **

Complete the following problems. Be sure to show all work.

1)Find the indicated term of the arithmetic sequence with the first term *a*_{1} and the common difference *d*.

a.Find *a*_{7} when *a*_{1 }= â€“8 and *d* = 4.

b.Find *a*_{16} when *a*_{1 }= 10 and *d* = 7.

2)Write a formula for the *n*^{th} term of each arithmetic sequence. Then use the formula to find *a*_{15}.

a.3, 8, 13, 18

b.*a*_{1 }= â€“3 and *d* = 6

3)Find the sum of the even integers between 30 and 70.

4)Find the indicated sum.

a.

b.

5) Write the first four terms of each geometric sequence.

a.*a*_{1 }= 5 and *r* = 2

b.*a*_{1 }= 6 and

6)Find the indicated sum.

a.

b.

7)Find the sum of the infinite geometric series.

8)Use mathematical induction to prove that the following statement is true for every positive integer *n*.

9)Use the Binomial Theorem to expand each binomial and express the result in simplified form.

a.(*x* + 7)^{4 }

b.(2*x* â€“ 1)^{5} ^{}

10)A jury pool of consists of 50 potential jurors. In how many ways can a jury of 12 be selected?

11)A 10 member club is getting ready to select a president and secretary. Assuming that the same person cannot hold each job, how many ways can the offices be filled?

12)Jenny has 10 tops, 6 bottoms, 3 belts, and 5 pairs of shoes. Assuming that everything matches, how many different outfits can Jenny create?

Thenursinghub delivers custom papers tailored to the unique requirements of each student. Their writers collaborate closely with clients to understand their specific needs, instructions, and preferences. This individualized approach allows Thenursinghub to produce original content that aligns perfectly with the student’s academic goals, ensuring the work is both relevant and authentic.

Use Discount Code "Newclient" for a 15% Discount!

NB: We do not resell papers. Upon ordering, we do an original paper exclusively for you.