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The sum of the first 2 terms of a geometric sequence is 8 and the 3rd term of sequence is 18. Find the 1st term of the sequence.
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@ganeshie8 @RadEn @hartnn
a+b=8 c=18 b/a=c/b use b=8-a (8-a)/a=18/(8-a) solve this and get a = 2 or 32 its easy to see 32 wont work so a = 2 and thus b = 6
1st term = 2
why 32 is not the answer...
because the third term is 18, so that would mean you have negative terms, but the 3rd term is positive, and this is geometric
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geometric sequence can have negative ratio..
well ok maybe it can be both? that would make the second term -24 and -24/32 = -3/4 18/-24 = -3/4
ok so both will work....
then 2 and 32 are the answers?
thx
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yeah, sort of odd that it asked for one answer
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