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3 years ago

What is the explicit formula for the sequence? -7,-4,-1,2,5

Mathematics

2 answers:

valentinak56 [21]3 years ago

8 0

Answer:

y = -7 + 3(n-1)

Step-by-step explanation:

The basic formula for an explicit formula is:

$a_{n}$ = $a_{1}$ + d(n-1)

The first term is clearly -7 and the common difference is 3 because each term is 3 more than the term before it:

$a_{n}$ = -7 + 3(n-1)

Archy [21]3 years ago

5 0

an =a1+d(n-1)

a1=-7

d= -4--7=-4+7=3

an =-7+3(n-1)

an = -7+ 3n-3

an=-10+3n

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Mandarinka [93]

Answer:

The general rule is $a_n = -2 - 5(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

$a_{n} = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

$a_n = a_m + (n-m)d$

a3 = -12 and a8 = -37

First we find the common difference. So

$a_n = a_m + (n-m)d$

$a_8 = a_3 + (8-3)d$

$-37 = -12 + 5d$

$5d = -25$

$d = -\frac{25}{5}$

$d = -5$

$a_n = a_1 - 5(n-1)$

Finding the first term:

$a_n = a_1 - 5(n-1)$

Since $a_3 = -12$

$a_n = a_1 - 5(n-1)$

$a_3 = a_1 - 5(3-1)$

$a_1 = a_3 + 10 = -12 + 10 = -2$

So the general rule is:

$a_n = a_1 - 5(n-1)$

$a_n = -2 - 5(n-1)$

6 0

2 years ago

I do need help please. Just number 14 :)

Ainat [17]

The difference between the coat cost for Delaware vs Fairfield is $0.60

Explanation:
For Delaware: 80 × .0725 = $5.80
80+5.80= $85.80

For Fairfield: 80 × .065 = $5.20
80+5.20=$85.20

85.80-85.20=0.60

7 0

2 years ago

Read 2 more answers

Can someone help please.

snow_lady [41]

By the Pythagorean theorem
AB = √(12²+5²) = √169 = 13 units

$\frac{AD}{AB} = \frac{BD}{BC} \ \to \ BC= \frac{AB*BD}{AD}= \frac{13*12}{5}= 31.2 \ units$

8 0

2 years ago

* 30 35 40 45 50 55 60 65 70 75 80 c. Determine the median

tester [92]

Answer:

median is 55

Step-by-step explanation:

6 0

2 years ago

Evaluate: p+2c +3f+6t when p= 15, c=7, f = -3, and t= 1.

frosja888 [35]

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