SOLUTION: In a geometric progression, the 2nd term is 8 and the 7th term is .25. Find the sum of the first 10 terms.
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Question 925143: In a geometric progression, the 2nd term is 8 and the 7th term is .25. Find the sum of the first 10 terms.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
First term, a.
Index, n.
ratio between terms, r.
, also or .
The seventh term, .
Two equations should be useful.
Their ratio should be very helpful.
Having the common ratio, the factor a can be found.
The general term of the geometric sequence is .
If the formula for a finite series is being handled properly, expect sum of first ten terms,
, and you can evaluate the expression.
and this is slightly less than 32.
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