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In Math / Senior High School | 2024-09-09

insert 3 geometric means a2 a3 and a4 between a1=5 and a5=3125​

Asked by rodelasangelamae60

Answer (1)

Answer:To insert 3 geometric means between     and    , we can use the formula for the   term of a geometric sequence:       where: -   is the first term (   )-   is the   term-   is the common ratio Given that there are 3 geometric means to insert, we need to find the common ratio  . We know that:            Now, we solve for  :                Therefore, the common ratio is    . Now, to find the 3 geometric means (   ), we can calculate them using the common ratio:                                   So, the 3 geometric means between     and     are 25, 125, and 625.

Answered by angelinaestera11 | 2024-09-09