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The n term of a geometric sequence is denoted by Tn and the sum of the first n terms is denoted by Sn.Given T6-T4=5/2 and S5-S3=5.Calculate (a)the common ratio. (b)the first term of this geometric sequence
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Dec 3, 2019
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The n term of a geometric sequence is denoted by Tn and the sum of the first n terms is denoted by Sn.Given T6-T4=5/2 and S5-S3=5.Calculate (a)the common ratio. (b)the first term of this geometric sequence
Mathematics
middle-school
Alexander Morley
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Alexander Morley
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1 step:
,
, then
.
2 step:
, then
and
will have form
.
3 step:
Solve this system
and dividing first equation on second we obtain
. So,
and
,
- the common ratio.
4 step
: Insert
into equation
and obtain
, from where
.
Isuru Dilshan
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Dec 7, 2019
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Isuru Dilshan
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