Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68
Answer: 6
Multiply 9 on both sides since the operation is division .
4/6=9/x
/9. /9
6=x
Answer:
It will cost Emily $40 to rent the bike for 6 hours.
Step-by-step explanation:
SOLUTION:
Total cost equals = (cost per hour × number of hours) + initial bike cost.
Let, y be total cost and x = renting a bicycle for x hours.
y=5x+10
To calculate Emily's cost for 6 hours, let x=6.
y=5(6)+10
y=30+10
y=40
It will cost Emily $40 to rent the bike for 6 hours.
Ron ate the most sandwiches because Jerry only ate 6/8 and that is lower than 7/8. 5/8 is also lower than 7/8