Answer:
a) common ratio = 3
b) first number = 5
Step-by-step explanation:
Given: a₇ = 3,645 and a₈ = 10,935
a) To find the common ratio divide the next term by the previous term.
common ratio: 10,935 ÷ 3,645 = 3
b) Geometric Sequence: a(r)ⁿ⁻¹
Here "a" is the first term, "r" is common ratio, "n" determines the term.
===
a(3)⁷⁻¹ = 3,645
a(3)⁶ = 3645
a(729) = 3645
a = 5
====
Equation found: 5(3)ⁿ⁻¹