Find Nth term
Geometric or Arithmetic?
And
Find the common ratio or difference
Find the next 3 terms
Explicit rule
Context
100

3, 6, 9, 12

Find the 29th term

87

100

4, 6, 8,10

Arithmetic 


+2

100

2, 4, 8,  ____, ____, ____

16, 32, 64

100

3, 6, 9, 12

An=3+3(n-1)

100

Claire is a teacher and takes home 90 papers to grade over the weekend. She can grade at a rate of 11 papers per hour. How many papers would Claire have remaining to grade after working for 5 hours?

35 Papers

200

11,15,19,...

Find the 33rd term.

139

200

80,20,5,...

Geometric

x1/4

200

452, 443, 434,  ____, ____, ____

425, 416, 407

200

14, 28, 56

An=14(2)^n-1

200

Yasmin was given a large box of 54 chocolates for her birthday. If she eats exactly 2 chocolates each day, how many chocolates would Yasmin have remaining 12 days after her birthday?

30 Chocolates

300

12,24,48,

Find the 7th term

768

300

21, 16, 11, ...

Arithmetic

-5

300

12,24,48, ____, ____, ____

96, 192, 384

300

461, 452, 443

An=461+-9(n-1)

300

You rent an apartment that costs $900$900 per month during the first year, but the rent is set to go up 12.5% per year. What would be the rent of the apartment during the 6th year of living in the apartment? Round your answer to the nearest whole number.

1622

400

310,304,298,...

Find the 41st term

70

400

4, 8, 16, ...

Geometric

x2

400

590, 295, 147.5,  ____, ____, ____

73.75, 36.875, 18.4375

400

2, 10, 50

An=2(5)^n-1

400

Bentley just got hired for a new job and will make $85,000 in his first year. Bentley was told that he can expect to get raises of $5,000 every year going forward. How much money in salary would Bentley make in his 10th year working at this job?

$130,000

500

30,150,750,...

Find the 7th term

468750

500

98, 14, 2

Geometric


x1/7

500

150, 120, 96,  ____, ____, ____

76.8, 61.44, 49.152



(x0.8)

500

180, 36, 7.2

An=180(0.2)^n-1

500

Savannah invested $1500 in an account that pays 3% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Savannah would have in the account 20 years after her initial investment. Round your answer to the nearest whole number.

$2,709

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