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(A) Given: $a_{1}=3$ and $a_{n}=3a_{n-1}+2$ for $n > 1$.Step $1$: Calculate $a_{2} = 3(a_{1}) + 2 = 3(3) + 2 = 9 + 2 = 11$.Step $2$: Calculate $a_{3}

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$3+11+35+107+323+\ldots$

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(A) Given: $a_{1}=3$ and $a_{n}=3a_{n-1}+2$ for $n > 1$.Step $1$: Calculate $a_{2} = 3(a_{1}) + 2 = 3(3) + 2 = 9 + 2 = 11$.Step $2$: Calculate $a_{3} = 3(a_{2}) + 2 = 3(11) + 2 = 33 + 2 = 35$.Step $3$: Calculate $a_{4} = 3(a_{3}) + 2 = 3(35) + 2 = 105 + 2 = 107$.Step $4$: Calculate $a_{5} = 3(a_{4}) + 2 = 3(107) + 2 = 321 + 2 = 323$.Thus,the first five terms are $3, 11, 35, 107, 323$.The corresponding series is $3+11+35+107+323+\ldots$

Write the first five terms of the following sequence and obtain the corresponding series:
$a_{1}=3, a_{n}=3a_{n-1}+2$ for all $n > 1$.

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Write the first five terms of the following sequence and obtain the corresponding series:$a_{1}=3, a_{n}=3a_{n-1}+2$ for all $n > 1$.