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1 answer:
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8, 16, 32, 64,…
×2 ×2 ×2
First Term: 8
Second Term: 16
Third Term: 32
Fourth Term: 64
Fifth Term: 128
Sixth Term: 256
Seventh Term: 512
Eighth Term: 1024
Ninth Term: 2048
Tenth Term: 4096
Eleventh Term: 8192
Twelfth Term: 16384
Thirteenth Term: 32768
×2 ×2 ×2
First Term: 8
Second Term: 16
Third Term: 32
Fourth Term: 64
Fifth Term: 128
Sixth Term: 256
Seventh Term: 512
Eighth Term: 1024
Ninth Term: 2048
Tenth Term: 4096
Eleventh Term: 8192
Twelfth Term: 16384
Thirteenth Term: 32768
Answer:
a(n) =
Step-by-step explanation:
The given expression is in the form of the explicit formula of a geometric sequence.
f(n) =
Where 'a' = First term of the sequence
r = common ratio
Recursive formula of a geometric sequence is,
a(n) =
a(n) =
Where,
So the recursive formula will be a(n) =
Division is basically
x divided by y=x/y so
18 divided by 2/3=
we want the bottom number to be =1 so we multiply 2/3 by 3/2 to make it 1 (or 6/6=1), but we have to multiply the top number by 3/2 also so that we don't change the fraction and make our work useless so
the answe ris 27
x divided by y=x/y so
18 divided by 2/3=
we want the bottom number to be =1 so we multiply 2/3 by 3/2 to make it 1 (or 6/6=1), but we have to multiply the top number by 3/2 also so that we don't change the fraction and make our work useless so
the answe ris 27