What is the next letter in the following sequence? B, D, G, K, P, V, C

Concept

A letter series can be analysed by assigning alphabet positions A = 1 through Z = 26 and comparing the change between consecutive positions.

When a step goes beyond Z, continue cyclically from A; equivalently, subtract 26 from a position greater than 26.

Application

1. The positions are B = 2, D = 4, G = 7, K = 11, P = 16, V = 22, and C = 3 after wrapping around.

2. The successive forward changes are +2, +3, +4, +5, +6, and +7, so the next change is +8.

3. Starting from C at position 3, adding 8 gives 11, which is K.

Cross-check

Counting eight letters forward from C gives D(1), E(2), F(3), G(4), H(5), I(6), J(7), K(8). Therefore, the next letter is K.