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SECONDARY
ALGEBRA
ALGEBRA I
SEQUENCES
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Algebra I: sequences problems solved
Recent questions in Sequences
Sequences
asked 2021-03-18
Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic or geometric, calculate its common difference or ratio, respectively. 5, 9, 13, 17,
Sequences
asked 2021-03-09
Clay thi
the next term in the sequence 2, 4, ... is 6. Given the same pattern, Ott thi
the next term is 8, and Stacie thi
the next term is 7. What conjecture is each person thinking? Is there enough information to decide who is correct?
Sequences
asked 2021-03-08
A soup kitchen makes 16 gallons of soup. Each day, a quarter of the soup is served and the rest is saved for the next day. Write the first five terms of the sequence of the number of fluid ounces of soup left each day. Write an equation that represents the nth term of the sequence. When is all the soup gone?
Sequences
asked 2021-03-02
Prove that sequence
\((-1)^{n}\)
is not convergent .
Sequences
asked 2021-03-02
Find the sum of the first 60 positive even integers.
Sequences
asked 2021-02-19
Write a recursive rule and an explicit rule for an arithmetic sequence that models a situation. Then use the rule to answer the question. Jack begins an exercise routine for 10 minutes each day. Each week he plans to add 10 minutes per day to his exercise routine. For how many minutes will he exercise for each day on the 7th week?
Sequences
asked 2021-02-16
First six terms of the sequence an=4-n
Sequences
asked 2021-02-09
Give an example of two divergent sequences (an) and (bn) such that their sum (an+bn) is convergent.
Sequences
asked 2021-02-09
Write a formula for the nth term of the arithmetic sequence 15, 20, 25, 30, ...
Sequences
asked 2021-02-05
Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
a) an = (an−1)2 , a1 = 2 ( Just find its general formula )
Sequences
asked 2021-02-02
Tricks to solve problems related to Series in Quantitative Aptitude Today, I'm going to discuss a very important topic of Quantitative aptitude i.e. Sequence and Series. Sequence and Series is a mathematical concept and basically it is a logical concept.
Sequences
asked 2021-01-31
(a) Find a closed-form solution for this recurrence relation: an=2⋅an−1−n+1 with a1=2a
(b) Prove that your closed-form solution is correct.
Sequences
asked 2021-01-31
Describe a sequence of translations that can be used to show that Figures A and A' are congruent and that Figures B and B' are congurent. Show your work and explaic your work reasoning.
Sequences
asked 2021-01-28
Prove by induction that
\(\displaystyle{1}+{3}+⋯+{\left({2}{n}+{1}\right)}={\left({n}+{1}\right)}^{{2}}.\)
Sequences
asked 2021-01-27
Find the nth term of the sequence 2, 5, 10,17, 26...
Sequences
asked 2021-01-19
Find a recurrence relation for the number of sequences of yellow and purple stones of length N, where each sequence has the property that no two adjacent stones are purple.
Sequences
asked 2021-01-15
The recursive formula A(n) = A(n-1)+5 represents the amount of money in your savings account after n weeks. You start with $100. What is an explicit formula for the amount of money in your savings account after n weeks?
A. A(n)=5+100(n−1)
B. A(n)=100(n−1)−5
C. A(n)=100+5(n−1)
D. A(n)=5(n−1)−100
Sequences
asked 2021-01-10
Let X be a set with n elements, n > 3. Determine the size of the following set in terms of n, and give a
\(\displaystyle{b}{i}{g}-Θ\)
estimate for the answer. the set of all strings x1x2, with xi is in
\(\displaystyle{X}Θ{\left({n}!\right)}Θ{\left({\log{{2}}}{n}\right)}Θ{\left({n}{3}\right)}Θ{\left({n}{2}\right)}Θ{\left({2}{n}\right)}\)
Sequences
asked 2021-01-10
Which of the following sequences is NOT arithmetic?
(A) -4, 2, 8, 14, ...,
(B) 9, 4, -1, -6, ...
(C) 2, 4, 8, 16,...
(D)
\(\frac{1}{3},1*\frac{1}{3},2*\frac{1}{3},3*\frac{1}{3}\)
',...
Sequences
asked 2020-12-24
The first of an arithmetic sequence is 2 and has the property that its second, third, and seventh terms are consecutive terms of a geometric sequence.
1
2
...