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
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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