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3 years ago

MULTIPLE CHOICE 9th grade math: help me find the formula to the nth term:

Mathematics

1 answer:

maxonik [38]3 years ago

3 0

Answer:

$a_{n}$ = - 5n - 2

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 12 - (- 7) = - 17 - (- 12) = - 5

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7 and d = - 5, then

$a_{n}$ = - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2

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ira [324]

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of dimes be 'x'.

Let the number of nickels be ' $\dfrac{3}{2}x$ '.

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Let the number of quarters be '3x-34'.

As we know that

1 quarter = $0.25

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1 nickel = $0.05

1 penny = $0.01

According to question, we get that

$0.10x+0.05\times \dfrac{3x}{2}+0.01\times 3x+0.25(3x-34)=4.87\\\\0.10x+0.075x+0.03x+0.75x-8.5=4.87\\\\\\0.955x=4.87+8.5\\\\0.955x=13.37\\\\x=\dfrac{13.37}{0.955}\\\\x=14$

So, the number of pennies is given by

$3x=3\times 14=42$

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2 years ago

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Bas_tet [7]

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Step-by-step explanation:

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Hoped it help! :D

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