amakayla5749 amakayla5749
  • 12-06-2022
  • Mathematics
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fieryanswererft
fieryanswererft fieryanswererft
  • 12-06-2022

Answer:

a) common ratio = 3

b) first number = 5

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

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