Write a rule for the nth term of the geometric sequence and then find a_5 given a_4=−3,r=−2

Emmy Swanson 2022-10-14 Answered
Write a rule for the nth term of the geometric sequence and then find a 5 given a 4 = - 3 , r = - 2
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Mohammad Cantrell
Answered 2022-10-15 Author has 10 answers
the terms in a standard geometric sequence are
a , a r , a r 2 , a r 3 , ... ... , a r n - 1
where a is the first term and r the common ratio
the nth term is
x a n = a r n - 1
a 4 = a r 3 = - 3 a = - 3 ( - 2 ) 3 = - 3 - 8 = 3 8
a n = 3 8 ( - 2 ) n - 1
a 5 = 3 8 ( - 2 ) 4 = 3 8 × 16 = 6
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions