Class 11

Math

Algebra

Sequences and Series

Find all possible integers whose geometric mean is $16$.

- $(1,256),(2,128),(4,64),(8,32),(16,16)$
- $(1,256),(2,128),(4,64),(16,1),(1,16)$
- $(1,256),(4,4),(4,64),(8,32),(16,16)$
- $(1,256),(2,128),(1,4),(8,32),(16,16)$

$(16)_{2}=product$

$∴product=256$

The pairs of integers are :$(1,256),(2,128),(4,64) and (8,32)$