Answer:

Step-by-step explanation:
Given:
Fifth term of a geometric sequence = 
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence =
, where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.




Cross multiply

Divide both sides by 16



Step 2: input the value of a and r to find the nth term formula of the sequence
nth term = 
nth term = 

Answer:
10x-15y
Step-by-step explanation:
5(2x-3y)
10x-15y
Answer:
Margot gets from A to B faster
Step-by-step explanation:
Alan takes 2 hr and 35 min = 2. 58... hr
Margot takes 147/64 hr = 2.296.. hr
Answer:
bat and pad is correct answer
Answer:
49, 49 , 98
Step-by-step explanation:
AC = AB + BC = 2AB
- 3x - 31 = 2(x+6)
- 3x - 31 = 2x + 12
- 3x - 2x = 12 +31
- x = 43
AB= BC = x + 6 = 43 + 6 = 49
AC = 2AB = 2* 49 = 98