In each of the​ following, list three terms that continue the arithmetic or geometric sequences. Identify the sequences as arithmetic or geometric. a. 2, 6, 18, 54, 162 b. 1, 8 ,15, 22, 29 c. 11, 15, 19, 23, 27

aflacatn 2020-11-02 Answered
In each of the​ following, list three terms that continue the arithmetic or geometric sequences. Identify the sequences as arithmetic or geometric. a. 2, 6, 18, 54, 162 b. 1, 8 ,15, 22, 29 c. 11, 15, 19, 23, 27
You can still ask an expert for help

Want to know more about Polynomial arithmetic?

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

Expert Answer

Raheem Donnelly
Answered 2020-11-03 Author has 75 answers

Step 1 a. Given sequence is 2, 6, 18, 54, 162 Since ratio of two consecutive terms is constant , therefore, sequence is geometric and common ratio is r=6/2 , that is r=3 Therefore, next term can be obtained by multiplying the previous term by r. Therefore, next three terms are 162×3=486
486×3=1458
1458×3=4374 Step 2 b. Given sequence is 1, 8 ,15, 22, 29 Since difference of two consecutive terms is constant , therefore, sequence is arithmetic and common difference is d=81=7, Therefore, next term can be obtained by adding the previous term by d. Therefore, next three terms are 29+7=36 
36+7=43,
43+7=50 Step 3 c. Given sequence is 11, 15, 19, 23, 27 Since difference of two consecutive terms is constant , therefore, sequence is arithmetic and common difference is d=1511=4, Therefore, next term can be obtained by adding the previous term by d. Therefore, next three terms are 27+4=31
31+4=35
35+4=39

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

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