Find the 100th and the nth term for each of the following sequences. a. 1,3,5,7 b. 50, 90, 130 c. 1.3.9. d. 9.93.95.97 e. 142+7.229.142+8.229.142 +9.229

a) the 100th term is 199 and the nth term is 2n-1.

b) the 100th term is 4010 and the nth term is 40n + 10

c) the 100th term is 60.7 and the nth term is .6n +.7

d) The 100th term is 11.91 and the nth term is 9.91 + 0.02n

e) The 100th term is 142 +106.229 and the nth term is 142 + (6.229+n)

Step-by-step explanation:

The formula to find the nth term of a sequence is:

Where is the nth term, is the first one and d is the difference between each term.

So now we're going to apply this to our sequences

a) 1, 3, 5, 7...

First term = 1

Difference = 2

nth term = = 1 + 2n - 2 = 2n - 1

100th term= 2(100) - 1 = 200 - 1 = 199

b) 50, 90, 130...

First term = 50

Difference = 40

nth term = 50 + 40(n - 1) = 50 +40n - 40 = 40n + 10

100th term = 40(100) + 10 = 4000 + 10 = 4010

c) 1.3, 1.9...

First term = 1.3

Difference = .6

nth term =

100th term = .6(100) +.7 = 60 + .7 = 60.7

d) 9.93, 9.95, 9.97...

First term = 9.93

Difference = .02

nth term =

100th term = 9.91+.02(100) = 9.91 + 2 = 11.91

e) 142+7.229, 142+8.229...

First term = 142 +7.229

Difference = .02

nth term =

100th term= 142 + (6.229 + 100) = 142 + 106.229

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05