Question

question 6 of 10
which of the following is most likely the next step in the series?

10a, 21b, 32c, 43d, 54e, 65f

a. 765
b. 66g
c. 7fg
d. 76g
e. 66g
f. 76g

Explanation:

Step1: Analyze number pattern

The numerical parts are: 10, 21, 32, 43, 54, 65. Calculate the difference between consecutive terms: $21-10=11$, $32-21=11$, so each number increases by 11. Next number: $65+11=76$.

Step2: Analyze letter pattern

The letter parts are: A, b, C, d, E, f. This alternates uppercase and lowercase letters in alphabetical order: uppercase odd-positioned letters (1st=A, 3rd=C, 5th=E) and lowercase even-positioned letters (2nd=b, 4th=d, 6th=f). The 7th term is an odd position, so it will be uppercase, next letter after F is G.

Step3: Combine patterns

Combine the calculated number and letter: 76G.

Answer:

F. 76G