The tenth erm of an arithematic sequence is 65 and its 15 th term is 80 .Is 200 a term of this sequence

200 is the 37th term of the sequence.

Step-by-step explanation:

Formula for nth term of am arithmetic sequence is;

a_n = a + (n - 1)d

10th term is 65

Thus;

65 = a + (10 - 1)d

a + 9d = 65 - - - (1)

15th term is 80.

Thus;

a + 14d = 80 - - - - (2)

Subtract eq (1) from eq (2) to get;

a + 14d - (a + 9d) = 80 - 65

5d = 25

d = 25/5

d = 5

Putting d in eq 1;

a + 9(5) = 65

a + 45 = 65

a = 65 - 45

a = 20

Thus, if 200 is a term in the sequence;

200 = 20 + (n - 1)5

200 - 20 = (n - 1)5

180 = (n - 1)5

n - 1 = 180/5

n - 1 = 36

n = 36 + 1

n = 37

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im not sure

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