How do you find the next three terms in the geometric sequence 4, -2, 1, -, ... ?
The common ratio of this sequence is
Geometric sequences have a fixed ratio between successive pairs of terms. in the case of this sequence, the common ratio is:
#(-2)/4 = -1/2#.
To find the next term in the sequence just multiply the previous term by the common ratio.
The general term of the sequence can be written:
#a_n = a_1 * r^(n-1)#