103k views
2 votes
Find the tenth term in each sequence:-

A. -2,-6,-18,-54

B. 7,9,12

User Filur
by
7.3k points

2 Answers

5 votes
tenth term in A is -39366 but B isn’t a sequence or series
User Ojk
by
7.7k points
5 votes

Answer: A) 39,366 B) 61

Explanation:

A) -2, -6, -18, -54, ....

each following term is multiplied by 3 so it is a geometric series


a_n=-2(3)^(n-1)\\\\\\a_(10)=-2(3)^(10-1)\\.\quad =-2(3)^(9)\\.\quad =-2(19,683)\\.\quad =\boxed{-39,366}

B) 7, 9, 12, ...

each following term is +n, so it is neither arithmetic or geometric

7 + 2 = 9

9 + 3 = 12

12 + 4 = 16

16 + 5 = 21

21 + 6 = 27

27 + 7 = 34

34 + 8 = 42

42 + 9 = 51

51 + 10 = 61 The 10th term is 61

User Myo Min Han
by
7.4k points

No related questions found

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