Which of the following statements is correct?
1 answer:
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Given that 2 large puzzle costs $16 then
2l=16
or
l=8
That means cost of 1 large puzzle = $8
Given that 3 small puzzle costs $15 then
3s=15
or
s=5
That means cost of 1 small puzzle = $5
Now we will use this information to find the correct choice.
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First choice is <u>wrong </u>as coefficient 8 is with 8l so that gives cost of 1 large not small puzzle.
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Second choice is <u>correct </u>as coefficient 8 is with 8l so that gives cost of 1 large puzzle.
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Third choice is <u>correct </u>as coefficient 5 is with 5s so that gives cost of 1 small puzzle.
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Fourth choice is <u>Wrong </u>as coefficient 5 is with 5s so that gives cost of 1 small not large puzzle.
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Fifth choice is <u>wrong </u>as constant 128 gives total cost of not the total number of puzzles.
Answer:
3. 2
4. f(n) = 3 + 4(n - 1)
Step-by-step explanation:
3. The general term of the arithmetic sequence is given by:
A(n) = - 14 + (n - 1)(2)
To find the ninth term of this arithmetic sequence, just put in the general term.
∴ A(9) = - 14 + (9 - 1)(2) = - 14 + 8(2) = -14 + 16 = 2.
Therefore the ninth term in the arithmetic sequence is two.
4. To know which expression represents the given sequence, substitute different values for to conclude.
In Option A, f(n) = 4 + 3(n - 1). Substitute n = 1.
We get f(1) = 4 + 3(0) = 4. This is not the first term in the sequence and can be eliminated.
In Option B, f(n) = 4 + 3n. Substitute n = 1.
We get f(1) = 4 + 3(1) = 7, not 3 so can be eliminated.
Similarly in Option C, we get 7 and could be eliminated.
In Option D, f(n) = 3 + 4(n - 1). Substitute n = 1.
We get f(1) = 3 + 4(1 - 1) = 3, which is the first term in the sequence.
Similarly, f(2) = 3 + 4(2 - 1) = 3 + 4 = 7.
Substitute n = 3, 4 to get other terms as well.
So, we say f(n) = 3 + 4(n - 1) is the representation of the given arithmetic sequence.