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Findthe7thtermofthesequencedescribedbelow,wherenrepresentsthepositionofaterminthesequence.an =  13(2)n − 1Write your answer as a decimal or integer.a7 = Submit

Question

Findthe7thtermofthesequencedescribedbelow,wherenrepresentsthepositionofaterminthesequence.an =  13(2)n − 1Write your answer as a decimal or integer.a7 = Submit

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Solution

To find the 7th term of the sequence, we substitute n = 7 into the formula:

a_n = 13(2)^n - 1

So, a_7 = 13(2)^7 - 1

First, calculate 2^7 = 128

Then, multiply 13 * 128 = 1664

Finally, subtract 1 from 1664 to get 1663

So, a_7 = 1663

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