Find a formula for the general term of the sequence 4 5 6 3725'...} 25 125...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Find a formula for the general term of the sequence 4 5 6 3725'...} 25 125 625 3125 assuming that the pattern of the first few terms continues. EXAMPLE 2 3 I - SOLUTION We are given that 3 a₁ ==// a2 = 5 of 5 7 an = 4 25 (−1)n-1. a3 = 5 125 X Notice that the numerators of these fractions start with 3 and increase by whenever we go to the next term. The second term has numerator 4, the third term has numerator 5; in general, the nth term 1 will have numerator (n+1) 5n a4 . = 6 625 a5 = 7 3125 , so an has denominator 5 the terms are alternately positive and negative so we need to multiply by a power of -1. Here we want to start with a positive term and so we use (−1)n-1 or (−1)n + 1. Therefore, x ). The denominators are powers The signs of Find a formula for the general term of the sequence 4 5 6 3725'...} 25 125 625 3125 assuming that the pattern of the first few terms continues. EXAMPLE 2 3 I - SOLUTION We are given that 3 a₁ ==// a2 = 5 of 5 7 an = 4 25 (−1)n-1. a3 = 5 125 X Notice that the numerators of these fractions start with 3 and increase by whenever we go to the next term. The second term has numerator 4, the third term has numerator 5; in general, the nth term 1 will have numerator (n+1) 5n a4 . = 6 625 a5 = 7 3125 , so an has denominator 5 the terms are alternately positive and negative so we need to multiply by a power of -1. Here we want to start with a positive term and so we use (−1)n-1 or (−1)n + 1. Therefore, x ). The denominators are powers The signs of
Expert Answer:
Answer rating: 100% (QA)
Solution we have cal 9 5 So 139 4 25 125 CScanned with C... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
For each sequence, find a formula for the general term, an. Sequences start with n=1. For example, answer n2 if given the sequence: 1,4,9,16,25,36, 1. 1/2,1/4,1/6,1/8, 2.1/2,1/4,1/8,1/16,
-
Find a formula for the stream function for flow of a doublet of strength λ at a distance a from a wall, as in Fig. C8.7 (a) Sketch the streamlines. (b) Are there any stagnation points? (c)...
-
Find a formula for the general term an (not the partial sum) of the infinite series. a. b. c. d. 3 9 27 81 1 5 25 125 1 22 33 1 21 3 2. 4.3.2.1
-
A posthole digger (the digger) is an agricultural implement manufactured by Alamo/SMC Corporation (SMC) designed, as its name implies, to dig holes in the ground for posts. The digger is...
-
Why is the vesting provision an important provision of a pension plan? How has the Employee Retirement Income Security Act influenced vesting periods?
-
Search online for recent cases involving the following trademark infringements and lost trademark rights: trademark counterfeiting, trademark disparagement and/or dilution, and genericness (common...
-
What are the opportunity costs associated with financial decisions?
-
Cretin Enterprises uses a predetermined overhead rate of $21.40 per direct labor-hour. This predetermined rate was based on 8,000 estimated direct labor-hours and $171,200 of estimated total...
-
Mary Merton is a fixed income analyst and is considering a convertible bond issued by Ashling Enterprises. The convertible bond has three years to maturity and a coupon rate of 5.75% with coupons...
-
An article that appeared in the British Medical Journal (2010) presented the results of a study conducted by researcher Jeremy Groves, whose objective was to determine whether the type of frame of...
-
In your own words explains your understanding of communication? 2) Expand on your ideas by highlighting the following in your meeting: What are 2 components of the communication process that you...
-
Beta, Inc., is an affiliate of an audit client and is audited by another firm of auditors. Which of the following is most likely to be used by the auditor to obtain assurance that all guarantees of...
-
One of the audit clients of Brown and Brown, CPAs, is We-Fit Manufacturing Company, makers of shirts, sweaters, and other clothing items. The finished goods inventory consists of merchandise placed...
-
Discuss the audit procedures an auditor would employ to detect liens on or pledges of receivables.
-
The following is a list of tasks performed by auditors in gathering evidence to support their opinion. For each task, indicate whether a computer-assisted audit program could be used. Indicate the...
-
When sampling is used to test the hypothesis that the evidence supports the account balance, what are the two parts of the sampling objective?
-
breif explanation needed If I was compiling a method paragraph to explain the thematic synthesis of previous research papers on positive gaming and transferable real-life skills... what would I...
-
A genetically engineered strain of Escherichia coli (E. coli) is used to synthesize human insulin for people suffering from type I diabetes mellitus. In the following simplified reaction scheme,...
-
Use the Chain Rule to prove the following. (a) The derivative of an even function is an odd function. (b) The derivative of an odd function is an even function.
-
Use the method of Exercise 23 to solve the differential equation. y' + 2 / x y = y3 / x2
-
Calculate the sum of the series whose partial sums (n=1 an whose partial sums are given. Sn = 2 - 3(0.8) n
-
If a covered person is the beneficiary of a trust that has a financial interest in a restricted entity, the independence of a member firm ordinarily would be impaired if: (a) The indirect financial...
-
Which one of the below is not a component of the internal control over financial reporting? (a) The management overrides (b) The control environment (c) The companys risk assessment process (d) The...
-
Which of the following is accurate concerning the auditor responsibilities in the performance of preliminary engagement activities? (a) The auditor team leader must conduct the quality control for an...
Study smarter with the SolutionInn App