Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Problem 1
Find the first four terms and the 100th term of the sequence. \(a_{n}=n+1\)
Problem 1
1鈥�4 A sequence is given. (a) Find the first five terms of the sequence. (b) What is the common difference \(d ?\) (c) Graph the terms you found in (a). $$a_{n}=5+2(n-1)$$
Problem 1
The \(n\)th term of a sequence is given. (a) Find the first five terms of the sequence. (b) What is the common ratio \(r ?\) (c) Graph the terms you found in (a). $$ a_{n}=5(2)^{n-1} $$
Problem 1
Annuity Find the amount of an annuity that consists of 10 annual payments of \(\$ 1000\) each into an account that pays 6\(\%\) interest per year.
Problem 1
\(1-12\) . Use Pascal's triangle to expand the expression. $$ (x+y)^{6} $$
Problem 1
Use mathematical induction to prove that the formula is true for all natural numbers n. $$2+4+6+\cdots+2 n=n(n+1)$$
Problem 2
The \(n\)th term of a sequence is given. (a) Find the first five terms of the sequence. (b) What is the common ratio \(r ?\) (c) Graph the terms you found in (a). $$ a_{n}=3(-4)^{n-1} $$
Problem 2
Use mathematical induction to prove that the formula is true for all natural numbers n. $$1+4+7+\cdots+(3 n-2)=\frac{n(3 n-1)}{2}$$
Problem 2
Annuity Find the amount of an annuity that consists of 24 monthly payments of \(\$ 500\) each into an account that pays 8\(\%\) interest per year, compounded monthly.
Problem 2
1鈥�4 A sequence is given. (a) Find the first five terms of the sequence. (b) What is the common difference \(d ?\) (c) Graph the terms you found in (a). $$a_{n}=3-4(n-1)$$
