Q#3 Arithmetic and Geometric Sequence

• The term A6 is C+20.

• The term A8 is C+32.

• The sequence defined by the explicit formula is A1=C, A2=C+4, A3=C+8, …

• The sequence defined by the explicit formula is A1=C, A2=4C, A3=8C,

• The recursive formula is An=An-1+4 when A1=C.

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CCSS.HSF.BF.A.2

Kenji is training to do 100 pushups at a time. He will increase the number of pushups he does every day by 5 pushups until he can do 100. Consider the explicit formula dn=p+5n, where p represents the number of pushups he could do at a time before he started training, and n represents the number days since Kenji started training. If Kenji did 24 pushups on his 3rd day, what is the value of p?

• 24

• 15

• 9

• 100

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CCSS.HSF.BF.A.2

What is the common ratio of the geometric sequence shown?
-1, 6, -36, 216, ...

• 36

• -6

• 6

• 1/6

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CCSS.HSF.BF.A.2

Esther is saving for a new video game system. The first month she saves $50. Each month after that she will save 10% more than the previous month. Which geometric series can be used to determine how much Esther will have saved at the end of 4 months?

• 50 + 5 + 5.5 + 6.5

• 50 + 55 + 60 + 65

• 50 + 60 + 70 + 80

• 50 + 55 + 60.5 + 66. 55

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CCSS.HSF.BF.A.2

Two terms of an arithmetic sequence are shown.

A6=38 andA14=−26

Determine the common difference of the sequence.

• 8

• -8

• 1/8

• -1/4

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CCSS.HSF.BF.A.2

Find the 15th term of the geometric sequence 7,−21,63,...

• a15= 480,783

• a15​=33,480,783

• a15= 14,348,907

• a15 =4,782,976

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CCSS.HSF.BF.A.2

Find the 70th term of the arithmetic sequence 29,17,5,...

• 828

• 24,012

• 857

• -799

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CCSS.HSF.BF.A.2