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: 121 kilometers
Step-by-step explanation:
14.99 + .80x (-14.99) = 111.79 (-14.99)
.80x (/.80) = 96.8 (/.80)
x = 121
By definition of absolute value we have two equalities:
2x + 1 = 10
2x + 1 = -10
For 2x + 1 = 10:
2x + 1 = 10
2x = 10-1
2x = 9
x = 9/2
For 2x + 1 = -10:
2x + 1 = -10
2x = -10-1
2x = -11
x = -11 / 2
Answer:
{-11/2, 9/2}
Answer:
60% increase
Step-by-step explanation:
Work out the difference increase between the two numbers you are comparing.Then you increase the new number by the original number. Next you divide the increase by the original number and multiply the answer by 100. Finally divide the increase number and the original number then multiply by 100. That will give you your answer.