The correct options are
C infinite number of APs
D infinite number of GPs
4=1+(n−1)d, 16=1+(m−1)d⇒153=m−1n−1
⇒n−11=m−15=p= positive integer
∴n=p+1, m=5p+1.
So, n, m have infinite pairs of values.
Also, 4=1⋅rn, 16=1⋅rm
r2n=rm
⇒m=2n
∴m2=n1=q= positive integer
So, m, n have infinite pairs of values.