In a geometric sequence, if the first term is multiplied by 3, what is the second term if the first is 2?

In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. Given that the first term is 2, if this term is multiplied by 3, it becomes the second term. To find the second term, you simply perform the multiplication:

First term = 2

Ratio = 3

Second term = First term × Ratio

Second term = 2 × 3 = 6

Thus, the second term in the sequence when starting with 2 and multiplying by 3 is 6. This illustrates how the proportional relationship between terms in a geometric sequence relies on consistently applying the ratio to each term. The understanding of this concept clearly aligns with identifying the correct term in a geometric progression.