Question

Classify the following

sequence:
1, 4, 9, 16, 25, ...
A. neither
B. geometric
C. arithmetic

Answer 1

FOR ARITHMETIC

`lhs = 9 - 4 \\ lhs = 5 \\ rhs = 4 - 1 \\ rhs= 3 \\ \\ lhs \: not = rhs`

SINCE THERE IS NO COMMON DIFFERENCE LET US TEST FOR A GEOMETRIC SEQUENCE.

`lhs = (9)/(4) \\ \\ rhs = (4)/(1) \\ rhs = 4 \\ \\ lhs \: not = rhs`

THERE IS NO COMMON DIFFERENCE NOR A COMMON RATION THIS MEANS THAT THE SEQUENCE IS NEITHER AN ARITHMETIC NOR A GEOMETRIC SEQUENCE.

THE OPTION IS A.NEITHER.