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Write the first six terms of the sequence.$a_n=3n-1$an​=3n−1​The first six terms of the sequence are , , , , ,

Question

Write the first six terms of the sequence.an=3n1a_n=3n-1an​=3n−1​The first six terms of the sequence are , , , , ,

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Solution

To find the first six terms of the sequence an=3n1a_n=3n-1, we substitute the values of n from 1 to 6 into the formula.

For n=1, a1=3(1)1=2a_1=3(1)-1=2

For n=2, a2=3(2)1=5a_2=3(2)-1=5

For n=3, a3=3(3)1=8a_3=3(3)-1=8

For n=4, a4=3(4)1=11a_4=3(4)-1=11

For n=5, a5=3(5)1=14a_5=3(5)-1=14

For n=6, a6=3(6)1=17a_6=3(6)-1=17

So, the first six terms of the sequence are 2, 5, 8, 11, 14, 17.

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