What is the recursive rule for the sequence 13, 27, 41, 55, a. an = an–1 + 14 b. an = 2an–1 + 14 c. an = a1 + 15 d. an = an–1 + 13

A. an = an–1 + 14

Step-by-step explanation:

13  ,   27 ,    41,   55,  

   +14     +14    +14

We are adding 14 each time

Take the previous term and add 14

an = an-1  +14

A.

Step-by-step explanation:

The given sequence : 13, 27, 41, 55, ...

The first term of the given sequence :

The common difference between the terms :

The recursive formula for any Arithmetic progression is given by :-

Thus, the recursive formula for given sequence will be :-

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068