AMC 10A 2025 (Problem 11)

Sequences & SeriesMedium

The sequence

1,x,y,z

is arithmetic. The sequence

1,p,q,z

is geometric. Both sequences are strictly increasing and contain only integers, and

z

is as small as possible. What is the value of

x+y+z+p+q

\text{(A)}\;66

\text{(B)}\;91

\text{(C)}\;103

\text{(D)}\;132

\text{(E)}\;149