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spin [16.1K]
3 years ago
15

What is the 101st term in the sequence 997, 989, 981, ...?

Mathematics
2 answers:
aivan3 [116]3 years ago
6 0

Answer:

a_{101}=197

Step-by-step explanation:

The first term of the sequence is

a_1=997

The given sequence  is 997, 989, 981, ...

The common difference is

d=989-997=-8

The nth ter of the sequence is

a_n=a_1+d(n-1)

We plug in the first term and the common ratio to obtain;

a_n=997-8(n-1)

a_n=997-8n+8

a_n=1005-8n

We substitute n=101 to get;

a_{101}=1005-8(101)

a_{101}=197

melamori03 [73]3 years ago
4 0

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

d=a_n-a_{(n-1)}\\d=989-997\\d=-8

Then the formula for the 101st term is the shown below:

a_n=a_1+(n-1)d

Where:

a_1=997\\d=-8\\n=101

Substitute values into the formula. Therefore, you obtain:

a_n=997+(101-1)(-8)=197

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drek231 [11]

<u>Answer:</u>

Given below.

<u>Explanation:</u>

Coordinates given: W( -4, -3 ) , X( 1 , -2 ), Y(2, -7 ) , Z( -3, -8)

To find the distance we will use the formula: distance=√((x2-x1)²+(y2-y1)²)

WX = √((1--4)²+(-2--3)²)

      = √26

YZ = √((-3-2)²+(-8--7)²)

     = √26

XY = √((2-1)²+(-7--2)²)

     = √26

WZ = √(-3--4)²+(-8--3)²

      = √26

WY =  √(2--4)²+(-7--3)²

     = 2√13

XZ = √(-3-1)²+(-8--2)²

     = 2√13

7 0
2 years ago
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Jobisdone [24]

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300 necklaces

Step-by-step explanation:

8,400 divided by 28 equals 300

4 0
3 years ago
The number of significant figures in 0.01500 is
madreJ [45]
Four significant is an answer 
because if 0 is the extreme right of decimal place it is significant
and if 0 lies between two significant figure than it is significant like 1.020 is 4 sifnificant and 100 is 1 significant figure
8 0
3 years ago
How could you calculate each product? Describe the strategy you would use. Then calculate.
VashaNatasha [74]
Hey there!

1. To solve 9 x 5 , I could add the number 9 five times . . .

9 + 9 + 9 + 9 + 9 = 45

9 x 5 = 45 <----

2. I would use the same strategy as the first one, except add the number 8 five times . . .

8 + 8 + 8 + 8 + 8 = 40

8 x 5 = 40 <----

Hope this helps you.
Have a great day!
8 0
3 years ago
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harina [27]

Answer:

1st : neither linear nor nonlinear

2nd: nonlinear

3rd: linear

4th: both linear and nonlinear

4 0
2 years ago
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