SEQUENCES AND SERIES
-1 + 5 - 25 + 125 - ... n = 7
-13021
-4 - 12 - 36 - 108 - ... n = 8
-13120
-5 - 10 - 20 - 40 - ... n = 20
-5242875
800 + 200 + 50 + 12.5 + ... n = 10
1066.6656
0.5 + 1 + 2 + 4 + ... n = 15
163835
100 + 50 + 25 + 12.5 + ... n = 12
199.951
-3 + 12 - 48 + 192 - ... n = 6
2457
3 + 6 + 12 + 24 + ... n=10
3069
8
A Geometric sequence has a first term of 16 and a common ratio of 1/2. Find the 2nd term.
32
A Geometric sequence has a first term of 4 and a common ratio of 2. Find the 4th term.
-30
Find the 12th term in a sequence with common difference -8 and first term 58.
96
Find the 21st term in the sequence. -4, 1, 6, 11, 16, ...
279
Find the 72nd term in the sequence: -5, -1, 3, 7, ..
-7
Find the common difference in the sequence: 10, 3, -4, -11, ...
9
Find the common difference: 16, 25, 34, ..
9
Find the common ratio for the sequence 2, 18, 162, 1458
3
Find the common ratio for the sequence 5, 15, 45, 135
6
Find the common ratio for the sequence 5, 30, 180, 1080
1/5
Find the common ratio for the sequence 500, 100, 20, 4
17
Find the first term in a sequence where the common difference is 6 and the eleventh term is 77.
16
Find the first term of the sequence ?, 32, 64, 128
-10
Find the first term of the sequence ?, 40, -160, 640
10
Find the first term of the sequence: ?, 40, 160, 640.
189
Find the fourth term of the sequence: -7, 21, -63
15
Find the missing term: 3, ___, 75, 375
24
Find the next term in the sequence 3, 6, 12, ...
-135
Find the next term in the sequence 5, -15, 45, ...
160
Find the sum of the Infinite Series (Geometric) a₁ = 80, r = 1/2
3/20
Find the sum of the Infinite Series (Geometric) a1 = 1/5, r = −1/3
1/2
Find the sum of the Infinite Series (Geometric) a₁ = 0.1, r = 0.8
8
Find the sum of the Infinite Series (Geometric) a₁ = 12, r = − 1/2
64/5
Find the sum of the Infinite Series (Geometric) a₁ = 16, r = −1/4
15
Find the sum of the Infinite Series (Geometric) a₁ = 5, r = 2/3
13
Find the sum of the Infinite Series (Geometric) a₁ = 6.5, r = 0.5
No sum
Find the sum of the Infinite Series (Geometric) a₁ = −32/27, r = −3/2
25
Name the 12th term: -9, -5, -1, 3
1,062,882
Name the 12th term: 6,18, 54, 162
33
Name the 15th term: 5, 7, 9, 11
288
Name the 20th term: a₁ = 3, d = 15
-63
Name the 23rd term: 25, 21, 17, 13
-37
Name the 6th term: 28, 15, 2, -11
0.005486976
Name the 9th term: 36, 12, 4
geometric, r = -1/2
Tell what kind of sequence and what the common difference/ratio is: -18, 9, -4.5, 2.25, ....
arithmetic, d = -5
Tell what kind of sequence and what the common difference/ratio is: -29, -34, -39, -44, ...
arithmetic, d = 8
Tell what kind of sequence and what the common difference/ratio is: -34, -26, -18, -10, ...
arithmetic, d = 3
Tell what kind of sequence and what the common difference/ratio is: -4, -1, 2, 5, ....
geometric, r = -1
Tell what kind of sequence and what the common difference/ratio is: -4, 4, -4, 4, -4, .....
Arithmetic, 1/2
Tell what kind of sequence and what the common difference/ratio is: 1, 3/2, 2, 5/2, 3, 7/2, 4
Arithmetic, -7
Tell what kind of sequence and what the common difference/ratio is: 100, 93, 86, 79, 72
geometric, r = 1/4
Tell what kind of sequence and what the common difference/ratio is: 12, 3, 3/4, 3/16, ....
Arithmetic, -3
Tell what kind of sequence and what the common difference/ratio is: 27, 24, 21, 18
arithmetic, d = -4
Tell what kind of sequence and what the common difference/ratio is: 30, 26, 22, 18, ...
Geometric, -1.5
Tell what kind of sequence and what the common difference/ratio is: 4, -6, 9, -13.5, 20.25
arithmetic, d = 3
Tell what kind of sequence and what the common difference/ratio is: 40, 43, 46, 49, ....
geometric, r = 1/2
Tell what kind of sequence and what the common difference/ratio is: 48, 24, 12, 6, 3, ....
Arithmetic, -4
Tell what kind of sequence and what the common difference/ratio is: 5, 1, -3, -7, -11
geometric, r = 1/5
Tell what kind of sequence and what the common difference/ratio is: 500, 100, 20, 4, ....
arithmetic, d = 5
Tell what kind of sequence and what the common difference/ratio is: 6, 11, 16, 21, 26, ...
Geometric, 0.3
Tell what kind of sequence and what the common difference/ratio is: 60, 18, 5.3, 1.62
geometri, r = 3
Tell what kind of sequence and what the common difference/ratio is: 7, 21, 63, 189, ....
geometric, r = -4
Tell what kind of sequence and what the common difference/ratio is: 8, -32, 128, -512, ....
Geometric, 1/2
Tell what kind of sequence and what the common difference/ratio is: 96, 48, 24, 12, 6
Write a formula for the sequence 9, 7, 5, 3, ...
aₙ=-2n+11
Write a rule for the sequence with 7th term -2 and 12th term 8.
aₙ=2n-16
Write a formula for the sequence with first term 2 and common difference 4. Find the 75th terms
aₙ=4n-2; 298
the difference between any two consecutive terms iw constant
common difference
