143k views
2 votes
which choice is the explicit formula for the following geometric sequence? 0.3, -0.06, 0.012, -0.0024, 0.00048

User Lukew
by
9.1k points

2 Answers

1 vote

Answer:

a n+0.3(-0.2)n-1

Explanation:

User Rtindru
by
8.0k points
4 votes

Answer:


a_(n) = 0.3(- 0.2)^(n - 1)

Explanation:

The given sequence is 0.3, - 0.06, 0.012, - 0.0024, 0.00048 ........ so on.

Now, this is a G.P. sequence with common ratio
(- 0.06)/(0.3) = - 0.2.

Now, the explicit formula of the given series will be


a_(n) = 0.3(- 0.2)^(n - 1) , where
a_(n) is the nth term of the G.P. sequence.

Now, for n = 1,
a_(1) = 0.3(- 0.2)^(1 - 1) = 0.3.

For, n = 2,
a_(2) = 0.3(- 0.2)^(2 - 1) = 0.3 * (- 0.2) = - 0.06 and so on. (Answer)

User Danpop
by
7.6k 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