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the first, third, and nth terms of a linear sequence are the first three terms of an exponential sequence. the seventh terms of a linear is 14 find the common difference of the linear sequence, find the common ratio of the exponential sequence, find the sum of fifth term to the ninth term of the exponential sequence

 Jul 13, 2021
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Your linear sequence could be:

2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28 , 30 , 32 , 34 , 36 .....etc.

 

Your exponential (geometric sequence) could be:

2 , 6 , 18 , 54 , 162 , 486 , 1458 , 4374 , 13122 , 39366 , 118098 , 354294 , 1062882 , 3188646 , 9565938 , 28697814 , 86093442 .......etc.

Note: This exponential sequence can be written like this:

2, (2*3^1), (2*3^2), (2*3^3), (2*3^4)........and so on.

 

You can find all the info you need from 2 sequences. Good luck.

 Jul 13, 2021

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