Question

question 5 of 10
which of the following is most likely the next step in the series?
a3z, b6y, c9x, d12w, e15v, f18u

a. f21t
b. g24t
c. g24t
d. g21t
e. g21t
f. g24u

Explanation:

Step1: Analyze the first character pattern

The first characters are lowercase letters: a, b, c, d, e, f. The next letter in the alphabetical order (lowercase) is g.

Step2: Analyze the number pattern

The numbers are 3, 6, 9, 12, 15, 18. This is an arithmetic sequence with a common difference of 3. So the next number is \(18 + 3 = 21\).

Step3: Analyze the last character pattern

The last characters are uppercase letters: Z, Y, X, W, V, U. These are letters in reverse alphabetical order. The next letter after U (in reverse) is T (since U - 1 = T, as we move backward: Z(26), Y(25), X(24), W(23), V(22), U(21), T(20)). Also, the case should be uppercase (consistent with previous terms: Z, Y, X, W, V, U are all uppercase).

Answer:

E. g21T