Question: An arithmetic sequence has first term k 2 and common difference k, where k > 0. The fifth term of the sequence is 41. Find

An arithmetic sequence has first term k² and common difference k, where k > 0. The fifth term of the sequence is 41. Find the value of k, giving your answer in the form p + q √5, where p and q are integers to be found.

Step by Step Solution

★★★★★

3.55 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

An arithmetic sequence is a sequence of numbers in which the difference between consecutive ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Pearson Edexcel A Level Mathematics Questions!

An arithmetic sequence has first term a and common difference d. The sum of the first 25 terms is 15 sums of the first 4 terms. a. Find a in terms of d. b. Find the 55 th term in terms of a.

An arithmetic sequence has first term a and common difference d. The sum of the first 20 terms is seven times the sum of the first five terms. a. Find d in terms of a. b. Find the 65th term in terms...

An arithmetic sequence has a starting term, u0, of 6.3 and a common difference of 2.5. a. Write an explicit formula for the sequence. b. Use the formula to figure out which term is 78.8.

Please help. Homework: Section 13.2 Question 3, 13.2.19 HW Score: 35.71%, 5 of 14 points Part 1 of 2 O Points: 0 of 1 Find the n" term of the arithmetic sequence whose initial term is a, and common...

Find the first four terms of the arithmetic sequence whose first term is 2 and whose common difference is - 7. What is the first term? a1Find the first four terms of the arithmetic sequence. a1 = -...

5:34 PM Wed Mar 9 96% G TO + Write the first five terms of the arithmetic sequence whose first term is 2, and whose common difference is 5. a1 = ] 2. Write a formula for the general term or nth term...

I need help answering these math problems 1. [42 Points] DETAILS SPRECALC712.2.011. Find the nth term of the arithmetic sequence with given first term a and common difference 0'. What is the 10th...

Hw Score: 75%, 24 of {Q Question 10, 13.2.27 32 points 0 Points: 0 of 'i Find the indicated term for the given arithmetic sequence. The 80th term of 2, 8, 14,... 380=|:| xample Get more help A Clear...

1. [-/1 Points] DETAILS SPRECALC7 12.2.012.MI. MY NOTES ASK YOUR TEACHER PRACTICE A Find the oth term of the arithmetic sequence with given first term a and common difference d. What is the 10th...

5.0 Points Question 1 of 20 If three people are selected at random, nd the probability that at least two of them have the same birthday. A. 0.07 B. 0.02 C. 0.01 D. 0.001 Question 2 of 20 Find the...

During the previous year, SCORING OPPORTUNITY LIMITED recorded sales of Rs X and incurred a loss amounting to Rs Y. During the current year the said company recorded sales of Rs 1.25 X and earned...

Reconstruct the control chart in Exercise 9.27 using = 0.1 and L = 2.7. Compare this chart with the one constructed in Exercise 9.27. Assume = 0.05. CL = 0 = 8.02, UCL = 8.05, LCL = 7.99

Suppose Capital One is advertising a 6 0 6 0 - month, 5 . 1 4 % 5 . 1 4 % APR motorcycle loan. If you need to borrow $ 8 comma 3 0 0 8 , 3 0 0 to purchase your dream Harley - Davidson, what will be...

Is the distribution of the number of HIV positive among the 20 users binomial? Why or why not? Infectious Disease A study considered risk factors for HIV infection among intravenous drug users [11]....

If a group of 200 IDDM 30- to 39-year-old men is followed, what is the probability that exactly 2 will go blind over a 1-year period? Ophthalmology, Diabetes A study [12] of incidence rates of...

If a group of 200 IDDM 30- to 39-year-old women is followed, what is the probability that at least 2 will go blind over a 1-year period? Ophthalmology, Diabetes A study [12] of incidence rates of...

what would a financial plan look like for a equine breeding facility?

The present value concept is widely applied in business because: A. inflation erodes the purchasing power of money. B. money has value over time. C. accounting for operating leases requires its use....

TF 1. When more hours of labor time are necessary to complete a job than the standard allows, the labor rate variance is unfavorable. When more hours of labor time are necessary to complete a job...