Geometric Sequences (HSC SSCE Mathematics Advanced): Flashcards

Each term = previous term × constant ratio $r$

Constant multiplier between terms, denoted $r$

$T_n = ar^{n-1}$ ($a$ = first term, $r$ = ratio)

Check if ratios of consecutive terms are all equal

Always one less than term number $n$

No, would make ratio undefined (division by zero)

No, would make second term zero (impossible in GP)

Terms alternate between positive and negative signs

$T_n = T_{n-1} \times r$ for $n \geq 2$

GPs are integer points of exponential function graphs