With the given pattern that continues here, how to write down the nth term of each sequence suggested by the pattern? (A) -2,4,-6,8,-10,.... (B) -1,1,-1,1,-1,.....
1 Answer
Jun 21, 2018
(A)
(B)
Explanation:
Given:
(A)
#-2, 4, -6, 8, -10,...# (B)
#-1, 1, -1, 1, -1,...#
Note that in order to get alternating signs, we can use the behaviour of
#-1, 1, -1, 1, -1,...#
There's our answer to (B) already: The
For (A) note that if we ignore the signs and consider the sequence
#a_n = (-1)^n * 2n#