Find the missing term(s) of the geometric sequence: 39, a2 , 975, ... Hint: r can be positive or negative.

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Bower asked Aug 14, 2022

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Find the missing term(s) of the geometric sequence: 39, a2 , 975, ... Hint: r can be positive or negative.

Mathematics
high-school

Bower asked Aug 14, 2022

by Bower

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1 Answer

13 votes

9514 1404 393

Answer:

±195

Explanation:

For some common ratio r, your missing term satisfies ...

39r = a2

a2·r = 975

So, ...

975 = 39r^2

25 = r^2

r = ±√25 = ±5

The missing term a2 = 39r could be either of 195 or -195.

AmirtharajCVijay answered Aug 20, 2022

by AmirtharajCVijay

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