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swat32
3 years ago
9

Find the first six terms of the sequence. a1=-7, an=2*an-1

Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0
The first term of the sequence is a_{1} = -7 . 

The sequences is recursive, every next term of the sequence is obtained by multiplying the previous term by 2.

So, we can find the next 6 terms as shown below:

a_{2} = 2*a_{1}=2(-7)=-14 
a_{3} = 2(-14)=-28 
a_{4} = 2(-28)=-56 
a_{5} = 2(-56)=-112 
a_{6} = 2(-112)=-224 
a_{7} = 2(-224)=-448 
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For the units positions of all numbers we have:
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z+12=14 \\ z=2

For the tens positions of all numbers we have:
4+2+x+1=1 \\ 7+x=1
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
7+x=11 \\ x=4

Now we insert x and z to find out y:
42+27+45=y14 \\ 114=y14 \\ y=1

Now we need to find out the product of these three numbers:
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Answer:

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Step-by-step explanation:

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3 years ago
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