Answer:
The equation for the nth term of the given arithmetic sequence is: 
Step-by-step explanation:
We need to write an equation for the nth term of the arithmetic sequence:
15,28,41 ....
The equation for arithmetic sequence is: 
Where 
is the nth term, 
is first term and d is common difference
In the given sequence we have:
a₁ = 15
a₂ = 28
We can find common difference using the formula:
So, the common difference d is 13
Now, equation for nth term will be:
So, the equation for the nth term of the given arithmetic sequence is:
where n=1,2,3..
Answer:
Step-by-step explanation:
1.
James goes to an arcade.
He has one go on the Teddy Grabber.
He has one go on the Penny Drop.
The probability that he wins on the Teddy Grabber is 0.2.
The probability that he wins on the Penny Drop is 0.3.
(a) Complete the tree diagram.
Teddy Grabber
Penny Drop
Win
0.3
Win
0.2
Lose
Win
Lose
Lose
(2)
the answer should be 1 1\3 that equals one hour.
Answer:
13, 14, 15
Step-by-step explanation:
Three consecutive integers have a sum of 42 means which 3 numbers in a row add up to 42
We can call the lowest integer x,
the next integer x+1 (since our integers need to be even)
the third integer x+2
algebraic equation: 42 = x + (x+1) + (x+2).
Combine like terms on the right side,
42 = 3x + 3
Subtract 3 from each side
39 = 3x
Divide each side by 3
x=13, which is our lowest integer.
The next two integers we find with 13 + 1 =.14 and 13 + 2 = 15
13 + 14 + 15 = 42.
I assume that the length of the rectangle is 8 inch more than width .
