Arithmetic or Geometric: 1, 5, 25, 125, ...
Geometric
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Find the sum of the first 7 terms if A1 = √ 2 and d = 2
42 + 7√ 2
Complete the term: 27, _, 89
58
The explicit formula of Arithmetic Sequence
An= A1 + (n-1) d
Arithmetic or Geometric: 1, 5, 9, 13, ...
Arithmetic
Find the 5th term if A1 = 5 and r = 3
405
3/4, 3/8, 3/16, 3/32, ...
3/2
Complete the term: 55, _, 123
89
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Deduct 100 points to your pair
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Find the 7th term if A1 = √ 2 and d = 2
12 + √ 2
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BONUS (+300 points)
Complete the term: 26, _, _, _, 146
56, 86, 116
The formula of the sum of divergent Geometric Series
The formula to get the sum doesn't exist as the sum doesn't exist
Arithmetic or Geometric: 9, 20, 11, 5, 2, 7, ...
None of the above
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Deduct 400 points to your pair
BONUS
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The two partial sum formula of Arithmetic Sequence
Sn = n/2 (A1 + An)
Sn = n/2 [2A1 + (n-1)d ]
Convergent or Divergent: 72, 66, 121/2, 1331/24, ...
Sarah is collecting stamps. On the first month, she has 5 stamps and adds 3 more stamps to her collection every month. How many stamps will she have on the 6th month and the 1st year?
A6= 20, A12= 38
10, 4, 8/5, 16/25, ...
50/3
Complete the term 15, _, 25
20
The formula of the number of terms (n)
n = [(An - A1) / d] + 1