madeleine17wilson madeleine17wilson

06-02-2020
Mathematics

contestada

HELP ASAP FOR BRAINLIEST:

Find the sixth term of a geometric sequence with t5 = 24 and t8 = 3

Thank you sooo much! Show work!

Respuesta :

krislynnkat krislynnkat

06-02-2020

T5-24. T6-17. T7-10. T8-3........... it goes down by 7

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albertaebisindou albertaebisindou

06-02-2020

Answer:

The answer is 12

Step-by-step explanation:

t5 = 24 = a × r⁴

t8 = 3 = a × r⁷

We divide one by the other

r³= 1 / 8

r = 1 / 2

t6 = a × r⁵ = t5 × r = 24 × (1/2) = 12.

Therefore the sixth term of the geometric sequence is 12

Answer Link

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