Purchase Solution

Algebra - Sequence Questions

Not what you're looking for?

Ask Custom Question

Brackets [ ] are used to indicate a subscript, so a[n] means the nth term of a sequence.

1. Write the first four terms of the sequence defined by a[n] = 2n + 3.

2. Write the first four terms of the arithmetic sequence with a[1] = -6 and d = 4.

3. What is the common ration in the geometric sequence 4, -12, 36, -108, . . .?

4. Describe the pattern on the exponents of a and b in the expansion of (a + b)^n.

5. Explain the difference between a combination and a permutation.

Purchase this Solution
Solution Summary

The solution provides detailed explanations and step-by-step instructions for each of these algebra sequence problems.

Solution Preview

See the attached file.

1. a[1] = 2 + 3 = 5
a[2] = 2*2 + 3 = 7
a[3] = 2*3 + 3 = 9
a[4] = 2*4 + 3 = 11

2. Arithmetic sequence has the formula:
a[n] = a[1] + (n-1)d
With a[1]= -6 and d =4, we can write the sequence as:
a[n]= -6 + 4*(n-1)
Hence a[1] = -6
a[2] = -6 + 4 = -2
a[3] = -6 +4*2 = ...

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Fractions differences in algebra

    algebra are found.

  • various algebra problems in IP unit 3, 4 and 5

    95288 Answer the following questions/provide detailed answers and show work Mathematics, Algebra Year 2 Please see attachment for additional questionaires. Please ask DR> SHARMA to handle this. Thanks!

  • Uniform Limit of a Sequence of Functions

    Let A be an algebra of functions defined over [a,b] such that A separates points on [a,b] and vanishes at no points on [a,b]. Then there exists a sequence f_n in A such that f_n converges uniformly to f on [a,b] as n tends to infinity.

  • Mathematics - Algebra

    (Questions attached in a doc file, please where possible explain and show method) The solution file is attached.

  • Abstract Algebra : mathematical induction

    147415 Abstract Algebra : Mathematical Induction Prove the following statement Given the recursively defined sequence a_1= 0, a_2= -30, and a_n=8a_n-1 -15a_n-2, use complete induction to prove that a_n=5*3^n - 3*5^n for all positive integers n.

  • Real Analysis Topology and Sigma-Algebra

    Prove that any sigma-algebra, which contains a finite number of members is also a topology. ( The Q in another words : to show that there exist a sequence of disjoint members of a sigma algebra which contains infinite no. of members). 2).

  • Arithmetic and Geometric Sequences

    Yes, a sequence is a function. The reason is that, for each index, there is at most one value, which satisfies the definition of a function in algebra. For instance, the arithmetic sequence: 1, 3, 5, 7, 9, ....

  • arithmetic sequence and geometric sequence

    109614 Algebra Questions: Please solve these equations related to arithmetic sequence and geometric sequence 1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,...to find the following: a) What is d, the difference between any 2 terms?

  • Algebra: Sequences and Expansions

    5589 Algebra: Sequences and Expansions 1. The coefficient of x6y4 in the expansion of (2x-y)10 is ? 2. An arithmetic sequence has a=15 and the common difference d=-3/2. Find the value of 10 over Sigma k=5 ak = the kth term of the sequence. 3.

View More Related Solutions