Determine the nth term for each of the following sequences:16,15,14,13,12,..

1 answer:

7 0

F(n) = 1st term - common difference (n - 1)

The operation is subtraction because the sequence is decreasing.

n = number of the term you are looking for
1st term = 1st number in the sequence, in this case, 16
common difference = difference between one number to the next

f(n) = 16 - 1(n-1)

Assuming we are looking for the 5th term.
f(5) = 16 - 1(5-1)
= 16 - 1(4)
= 16 - 4
= 12 * as you can see, 12 is the 5th term of the sequence.

If you are looking for the equivalent of the nth term, simply substitute n by the number you are looking for and solve the equation.

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A pile of coins, consisting of nickels, dimes, and quarters, is worth $4.55. There are 4 more dimes than nickels and 3 quarters

frozen [14]

Fun

n=number of nickles
q=number of quarters
d=number of dimes

4 more dmes than nickles, 3 more quarters than dimes
d+4=n
q=3+d

total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91

now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d

2(n+4)+n+5(3+d)=91
2(n+4)+n+5(3+n+4)=91
2(n+4)+n+5(n+7)=91
2n+8+n+5n+35=91
8n+43=91
minus 43 both sides
8n=48
divide both sides by 8
n=6

sub back
n+4=d
6+4=d
10=d

q=3+d
q=3+10
q=13

6 nickles
10 dimes
13 quarters

5 0

3 years ago

Which of the following is an example of a nonterminating, nonrepeating decimal?

BARSIC [14]

Answer:

Option B. $0.578942190874654...$