The first three terms of an arithmetic progression are (m 3), (m + 1) and (5m
Question:
The first three terms of an arithmetic progression are (m − 3), (m + 1) and (5m + 5).
a) Work out the value of m.
b) Work out the sum of the first 10 terms.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
a We know that the common difference between any t...View the full answer
Answered By
Morris Maina
I am a professional teaching in different Colleges and university to solved the Assignments and Project . I am Working more then 3 year Online Teaching in Zoom Meet etc. I will provide you the best answer of your Assignments and Project.
0.00
0 Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
a. The first two terms of an arithmetic progression are 1 and cos 2 x respectively. Show that the sum of the first ten terms can be expressed in the form a b sin 2 x, where a and b are constants to...
-
a. The first term of a geometric progression in which all the terms are positive is 50. The third term is 32. Find the sum to infinity of the progression. b. The first three terms of an arithmetic...
-
A geometric progression has first term a and common ratio r. The 1st, 2nd and 4th terms of the geometric progression form the first three terms of an arithmetic progression. a) Show that (r 1)(r + r...
-
Given that log 10 (x 2 y) = 4 and log 10 (x 4 /y 3 ) = 18, find the value of log 10 x and of log 10 y.
-
The following frequency distribution represents the number of live births (in thousands) in the United States in 2008 by age of mother. Age of Mother (years) Births (thousands) 1014 6 1519 .. 435...
-
What is the net present value of a firms investment in a U.S. Treasury security yielding 5 percent and maturing in one year?
-
Find the response of a simple pendulum numerically by solving the nonlinear equation: \[\ddot{\theta}+\frac{g}{l}\left(\theta-\frac{\theta^{3}}{6} ight)=0\] with \(\frac{g}{l}=0.01\) and plot the...
-
Sox Engineering designs and constructs air condi-tioning and heating systems for hospitals and clinics. Currently, the companys staff is overloaded with design work. There is a major design project...
-
Skydiving terminal velocity. When determining the terminalvelocity of items in free fall, the friction factor f is typicallycalled the drag coefficient and is represented by the symbol CD.They are...
-
The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor...
-
Kwame asks his father for some money. He asks for 1 on the first day, 2 on the second day, 4 on the third day, 8 on the fourth day, etc. He wants his father to continue to double the money each day....
-
A clock has a pendulum. The time it takes for the pendulum's first swing is 5 seconds. The time for each successive swing is 3/5 of the time of the previous swing. Find how long it takes the pendulum...
-
Indicate which variable you think should be the predictor (x) and which variable should be the response (y). Explain your choices. a. You collect data on the number of gallons of gas it takes to fill...
-
Extend the class GraphType in this chapter to include a DeleteEdge operation, which deletes a given edge. 1. Write the declaration of this function. Include adequate comments. 2. Using the adjacency...
-
What are the three ways that two classes can relate to one another?
-
Explain how paths and branches relate to code coverage in testing. Can we attempt 100% path coverage?
-
Draw the adjacency matrix for ZooGraph. Store the vertices in alphabetical order. ZooGraph V(ZooGraph) E(ZooGraph) = (V, E) = {dog, cat, animal, vertebrate, oyster, shellfish, invertebrate, crab,...
-
True or False? A full binary tree has all the leaf nodes on the same level, and every nonleaf node has one or two children.
-
Write net ionic equations for the following molecular equations. HBr is a strong electrolyte. a. HBr(aq) + NH3(aq) NH4Br(aq) b. 2HBr(aq) + Ba(OH)2(aq) 2H2O(l) + BaBr2(aq) c. Pb(NO3)2(aq) +...
-
Choose two matrices A and B with dimension 2 x 2. Calculate det A, det B, and det (AB). Repeat this process until you are able to discover how these three determinants are related. Summarize your...
-
How many subjects need to be enrolled in total in the study if (1) the investigators want to have a 90% chance of detecting a significant difference using a two-sided test with = .05 and (2) it is...
-
What is the sensitivity and specificity of the test? Obstetrics The standard screening test for Downs syndrome is based on a combination of maternal age and the level of serum alpha-fetoprotein....
-
What precentage of infants who test positive using the test will actually have Downs syndrome? Suppose that 1 out of 500 infants are born with Downs syndrome.
-
Pick a current governmental or political (not historical) issue or problem of importance in Texas government Address the various sides of your chosen issue and draw conclusions based on your analysis...
-
COGS in accounting what do you think is the most challenging aspect of this part of the accounting process? Can you find an example by doing some research of a time this went wrong for a business or...
-
Discuss common attack vectors in operating systems, such as buffer overflows and privilege escalation. What techniques can be employed at the operating system level to mitigate these risks ?
Study smarter with the SolutionInn App