Find the common difference of the arithmetic sequence.
9, 13, 17, 21, . . .
1 4/9
4
22
9/13
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OpenStudy (anonymous):
4?
OpenStudy (welshfella):
just subtract the first term from the second
OpenStudy (welshfella):
ntice they all increase by the same amount
OpenStudy (welshfella):
yes its 4
OpenStudy (anonymous):
thanks can you help with more?
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OpenStudy (welshfella):
ok
OpenStudy (anonymous):
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
1, 4, 7, 10, . . .
add 3 to the previous term; 13, 16
multiply the previous term by 3; 30, 90
multiply the previous term by 3; 13, 90
subtract 3 from the previous term; 7, 4
OpenStudy (anonymous):
@welshfella
OpenStudy (welshfella):
can you see the pattern ?
OpenStudy (anonymous):
I know one term is 3
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OpenStudy (anonymous):
@welshfella
OpenStudy (welshfella):
no - the difference between all the terms i 3
this is similar to the last question
its an arithmetic sequance whose common difference is 3
each term is found from the previous one by adding 3
OpenStudy (welshfella):
so you have to add 3 to 10 , then add another 3 to the result