204k views
0 votes
Given the explicit formula for a geometric sequence, find the first term, the eighth term, and the common ratio. aₙ=-3 (-2)ⁿ⁻¹

1 Answer

1 vote

Final answer:

To find the first term, plug in n=1. To find the eighth term, plug in n=8. The common ratio can be found by dividing any term by its previous term.

Step-by-step explanation:

To find the first term, the eighth term, and the common ratio of the given geometric sequence with the explicit formula aₙ= -3 (-2)ⁿ⁻¹, we need to substitute the values of n into the formula.

For the first term, plug in n=1: a₁ = -3 (-2)⁰ = -3 (1) = -3.

To find the eighth term, plug in n=8: a₈ = -3 (-2)⁸⁻¹ = -3 (-2)⁷ = -3 (-128) = -384.

The common ratio can be found by dividing any term by its previous term. For example, dividing the second term (-6) by the first term (-3) gives a common ratio of 2. So, the common ratio is 2.

User Enigmativity
by
9.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories