Can someone help me solve this?

:@nVision Algebra?2 savvasrealize.com Name 6-7 Additional Practice Geometric Sequences and Series Is the sequence geometric? If so, write a recursive definition for the sequence. 1..8:9; 27,81, 2. 4,8 12,16, ... 3.1, 0.5.0.25,0:125,.... Translate between the recursive and explicit definitions for each sequence. 5,if n =1 2 2.ifn=1 4. a,=4 "' 5. a,=%(7)"-1 6. a, = an {an_1(4), if n>1 30 =3(7) i {an_1(231), ifn>1 Write the expansion of each series. What is the sum? 7. 3 3@ 8. 3 5@)n-1 9. j4(%)"71 n=1 n=1 1 How many terms are in the geometric series? 10. 75+ 300+ 1200 + ... 11. 20+60+ 180 + ... 12. 400 + 100 + ... + 0.391 + 4,915,200 + 1,180,980 13. The sum of a geometric series is 2,351,461. The first term of the series is 7 and its common ratio is 6. How many terms are in the series? 14. What is the monthly payment for a $32,000 loan for 5 years with an annual interest rate of 5.4%? 15. A geometric sequence can be used to describe the population of rabbits on a farm. The first spring, the farmer purchased 8 rabbits. Five years later, there are 648 rabbits at the farm. Assuming that none of the rabbits leave the farm, how many rabbits were on the farm in year 3