Answer:
the common difference of the sequence is 
Step-by-step explanation:
A sequence of numbers is said to be in arithmetic progression of each term of the sequence has same common difference.
Now, here first term a1 = 1/4
Second term a2 = 5/16
Third term a3 = 3/8
Now, Common difference (d) = a2 - a1 = a3 - a2
Now, a2 - a1 = 
Now, a3 - a2 = 
Hence, the common difference of the sequence is 
Answer:
45
Step-by-step explanation:
Substitute i = 1, 2, 3, 4, 5 into the expression and sum the terms
3(1) + 3(2) + 3(3) + 3(4) + 3(5)
= 3 + 6 + 9 + 12 + 15
= 45
Answer:
Sammy needs to pay his mom 5 dollars each time he breaks a rule. His mom will make one exception and only take 2 dollars one time. y represents the total money paid and x is the number of times sammy broke a rule.