61
What is the next term in the series: P1, O2, N3, M4, L5, ___?
Answer & Solution
Solution:

The letters are decreasing by 1 each time (P, O, N, M, L, K),

and the numbers are increasing by 1.
So, the next term is K6.

62
What is the next term in the series: Z1, Y2, X3, W4, V5, ___?
Answer & Solution
Solution:

The letters are decreasing by 1 each time (Z, Y, X, W, V, U),

and the numbers are increasing by 1.
So, the next term is U6.

63
What is the next term in the series: A1, C3, F6, J10, O15, ___?
Answer & Solution
Solution:

The numbers follow the sequence 1, 3, 6, 10, 15, which increases by 2, 3, 4, 5, respectively.

The letters follow a sequence where the positions in the alphabet increase by 2, 3, 4, 5, and 6 respectively (A, C, F, J, O, Q).
So, the next term is Q21.

64
What is the next term in the series: A1, C5, E14, G30, I55, ___?
Answer & Solution
Solution:

The letters are increasing by 2 positions each time (A, C, E, G, I, J).

The numbers follow the sequence 1, 5, 14, 30, 55, which are triangular numbers:
1,1+4=5, 5+9=14,14+16=30, 30+25=55.
The next number will be 55+36=91.
So, the next term is J91.

65
What is the next term in the series: A2, D5, G10, J17, M26, ___?
Answer & Solution
Solution:

The numbers follow the pattern 2,5,10,17,26 which increases by consecutive odd numbers:
5−2=3, 10−5=5, 17−10=7, 26−17=9.

The next difference is 11, so 26+11=37.
The letters follow the sequence A, D, G, J, M, P, which increases by 3 each time.
So, the next term is P37.

66
What is the next term in the series: A1, D4, I9, O16, ___?
Answer & Solution
Solution:

The numbers follow a sequence of perfect squares: 1², 2², 3², 4², 5², so the next number should be 52=25
The letters follow a pattern of +3, +4, +5, +6 (A, D, I, O, T).
So, the next term is T25.

67
What is the next term in the series: Z26, X26, V26, T26, ___?
Answer & Solution
Solution:

The letters are moving backward by 2 positions each time (Z, X, V, T, R).

The numbers remain constant (26).
So, the next term is R26.

68
What is the next term in the series: A1, C4, E9, G16, I25, ___?
Answer & Solution
Solution:

The numbers follow the sequence of perfect squares: 1², 2², 3², 4², 5².

The next number will be 62=36
The letters follow an increment of 2: A, C, E, G, I, K.
So, the next term is K36.

69
Which of the following is the next term in the sequence: 2, 5, 10, 17, ___?
Answer & Solution
Solution:

The pattern is formed by adding consecutive odd numbers:
2 + 3 = 5
5 + 5 = 10
10 + 7 = 17
17 + 9 = 24