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Magazine Problem 18
Find each indicated sum. $$\sum_{i=1}^{6} 7 i$$
Problem 18
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of each sequence with the given first term, \(a_{1},\) and common ratio, \(r .\) Find \(a_{8}\) when \(a_{1}=5, r=3\).
Problem 19
Find each indicated sum. $$\sum_{i=1}^{4} 2 i^{2}$$
Problem 19
Use the formula for the general term (the nill term of an arithmetic sequence to find the indicated term of each sequence with the given first term, \(a_{1},\) and common difference, \(d\) Find \(a_{50}\) when \(a_{1}=7, d=5\)
Problem 19
Use the Binomial Theorem to expand each binomial and express the result in simplified form. $$(y-3)^{4}$$
Problem 19
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of each sequence with the given first term, \(a_{1},\) and common ratio, \(r .\) Find \(a_{12}\) when \(a_{1}=5, r=-2\).
Problem 20
Use the formula for the general term (the nill term of an arithmetic sequence to find the indicated term of each sequence with the given first term, \(a_{1},\) and common difference, \(d\) Find \(a_{60}\) when \(a_{1}=8, d=6\)
Problem 20
Use the Binomial Theorem to expand each binomial and express the result in simplified form. $$(y-4)^{4}$$
Problem 20
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of each sequence with the given first term, \(a_{1},\) and common ratio, \(r .\) Find \(a_{12}\) when \(a_{1}=4, r=-2\).
Problem 20
Find each indicated sum. $$\sum_{i=1}^{5} i^{3}$$
