Introduction to Sequences

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Find the first 5 terms and the one hundredth term of the sequence given by a sub n = 2n + 1
Find the first 5 terms and the one hundredth term of the sequence given by b sub n = the fraction with numerator n and denominator n + 1
Find the first 5 terms and the one hundredth term of the sequence given by c sub n = left paren negative 1 right paren to the nth power times the fraction with numerator n and denominator n + 1
Find a formula for the nth term of the sequence 1 half, 3 fourths, 5 eighths, 7 sixteenths, 9 thirty seconds, and so on
Find a formula for the nth term of the sequence negative 1 half, 1 fourth, negative 1 eighth, 1 sixteenth, negative 1 thirty second, and so on
Find a formula for the nth term of the sequence 1 half, negative 1 fourth, 1 eighth, negative 1 sixteenth, 1 thirty second, and so on
Find the first seven terms of the sequence given by a sub n = 2 a sub n minus 1, minus 1 and a sub 1 = 2
Find the first seven terms of the sequence given by b sub n = b sub n minus 1, minus b sub n minus 2, where b sub 1 = 1 and b sub 2 = 2