Find the first four terms of the sequence defined recursively by: ₁ = 0, _n = ^a_n-1

Find the following sum E (-i)ⁱ⁺¹ . ( 'E' represents the sigma notation and it also has a number 4 ontop and i = -1 at the bottom)

Find a formula for the th term of the sequence 1/2 , 3/4 , 9/8 , 27/16 , ...

Find a formula for the th term of the sequence ln 2 /3 , 8 ln 5 /7 , 27 ln8 /11 , 64 ln11 /15 , ...

Write the sum using sigma notation. 1/3 2/5 + 4/7 8/9 + + 256/19

Find the common difference and the 100th term of the following arithmetic sequence. 4, 1, 2, 5, 8, ...

Find the common ratio and the nth term of the following geometric sequence. 2, 4/5 , 8/25 , 16/125 ...