Multiple choice

In a sequence of numbers the first number is $3$ and each number after the first is $2$ more than $3$ times the preceding number. What is the fourth term in the sequence?

  1. $105$
  2. $106$
  3. $107$
  4. $108$
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C Correct answer
Explanation

Term 1 = 3. Term 2 = 3(3) + 2 = 11. Term 3 = 3(11) + 2 = 35. Term 4 = 3(35) + 2 = 105 + 2 = 107.

AI explanation

According to the given rule, each term is found by multiplying the preceding term by 3 and adding 2. Starting with the first term of 3, the second term is 11 (3 times 3 plus 2) and the third term is 35 (11 times 3 plus 2). Calculating the fourth term using the same rule gives 107 (35 times 3 plus 2).