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Lemur [1.5K]
3 years ago
15

Determine the 22nd term in the following arithmetic sequence: 3, 7, 11, 15...

Mathematics
2 answers:
Lyrx [107]3 years ago
5 0

Answer:

87

Step-by-step explanation:

a+(n-1)d where a is the first term n is the value of term and d the common difference

3+(22-1)4

=87

Elden [556K]3 years ago
3 0

Answer:

87

Step-by-step explanation:

4n-1

4(22)-1

88-1=87

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Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
Snezhnost [94]

Answer:

This is a geometric sequence with a common ratio of -4

Step-by-step explanation:

Take the second term and divide by the first term

-4/1 = -4

Take the third term and divide by the second term

16/-4 = -4

Take the fourth term and divide by the third

-64/16 = -4

This is a geometric sequence with a common ratio of -4

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Given: circle k(O), ED diameter, m∠OEF=32°, m EF=(2x+10)°. Find: x
Snezhnost [94]

Answer:

The value of x is 53\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc DF

we know that

The inscribed angle measures half that of the arc comprising

so

m

we have

m

substitute

32\°=\frac{1}{2}(arc\ DF)\\ arc\ DF=64\°

step 2

Find the measure of x

we know that

arc\ DF+arc\ EF=180\° ---> is a semi circle

we have

arc\ DF=64\°\\ arc\ EF=(2x+10)\°

substitute

64\°+(2x+10)\°=180\°\\ 2x\°=180\°-74\°\\ 2x\°=106\°\\ x=53\°

4 0
3 years ago
Someone please help me
Elza [17]

Answer:

student G is in the band

and student B plays the piano and is in the band

B is in the overlap of the two circles which means they fall into both categories

Hope this helped

I messed up before and did students A and B but I fixed it, so sorry that's my bad.

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