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

Sagot :

9514 1404 393

Answer:

  ±195

Step-by-step 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.