5,7,9,11 12th term pls help
2 answers:
Answer:
- The 12th term is 27.
<u>Step-by-step explanation:</u>
<u>We can tell that each number is getting added by 2's. Let's find the 12th term by using the formula.</u>
- => s + 2(n)
<u>Where s is the starting term, and n is the total number of terms (Excluding s)</u>
- => 5 + 2(11)
- => 5 + 22
- => 27
Hence, the 12th term is 27.
Hoped this helped.
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Answer:
Total weight of the wheat placed on 45th square will be =
Step-by-step explanation:
King rewarded the inventor of chess by giving grain of wheat on every square of the chess board. He places one grain of wheat on first square, 2 on second, 4 on 3rd, 8 on 4th and so on.
In fact he places grains of wheat in a progression S = 1, 2, 4, 8, 16.........n terms where value of n is 64.
We can rewrite the progression as S = 2°, 2, 2², 2³,.........n terms (n = 64)
In a geometric progression we know the nth term =
where a = first term of the series, r = common ratio, n = number of terms
Now we have to calculate the weight of all wheat placed on 45th square.
So we will put the values in the given formula 45th term =
=
=
Then the weight of wheat will be = =
Hey there! The answer is 7x + 4y < 40
Let's first rearrange our data in a more structured way.
x represents a box of wings which has a cost of $7.00. Therefore the total cost of the boxes is 7x.
y represents a tray of nachos which has a cost of $4.00. Therefore the total cost of the trays is 4y.
The sum of the costs of trays and boxes, which is (7x + 4y) must be smaller than $40.
Now we can set up the inequality.
~ Hope this helps you!
Let's first rearrange our data in a more structured way.
x represents a box of wings which has a cost of $7.00. Therefore the total cost of the boxes is 7x.
y represents a tray of nachos which has a cost of $4.00. Therefore the total cost of the trays is 4y.
The sum of the costs of trays and boxes, which is (7x + 4y) must be smaller than $40.
Now we can set up the inequality.
~ Hope this helps you!