SOLUTION: Please help me solve this question. Insert 4 geometric mean between 1/8 and 128

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Question 1196632: Please help me solve this question. Insert 4 geometric mean between 1/8 and 128
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

+a%5B1%5D+=+1%2F8+ which is +%281%2F8%29%2Ak%5E0 where k is the common ratio
You are asked to insert a%5B2%5D thru +a%5B5%5D+ while being given
a%5B6%5D+=+128+
+a%5B6%5D+=+%281%2F8%29%2Ak%5E5+=+128+ --> +k%5E5+=+8%2A128+=+1024+=+2%5E10+
which implies +k+=+2%5E2+=+4+
+a%5B1%5D+=+1%2F8+
+a%5B2%5D+=+4%281%2F8%29+=+1%2F2+
+a%5B3%5D+=+4%281%2F2%29+=+2+
+a%5B4%5D+=+4%282%29+=+8+
+a%5B5%5D+=+4%288%29+=+32+
and as a check
+a%5B6%5D+=+4%2832%29+=+128+
Hope this helps!
EDIT: Note to student: I assumed you wanted four elements of a geometric progression, inserting "4 geometric means" does not make sense to me.