| Series | Recursive Sequences | Arithmetic Sequences | Geometric Sequences | Binomial Theorem |
|---|---|---|---|---|
|
6+12+18+24 = 60
Find the sum when the equation is 6k.
k=1 and go up to 4. |
4, 17, 56, 173, 524, 1577
write the first 6 terms of this sequence:
a1=4 an = 3an-1 + 5 |
34
Find the 6th term in this sequence:
1, 7, 13, ... |
0.15625 or 5/32
Find the 7th term in this sequence:
10, 5, 2.5, 1.25, ... |
x^5 + 5 x^4 y + 10 x^3 y^2 + 10 x^2 y^3 + 5 x y^4 + y^5
Expand (x+y)^5
|
|
28+39+52+67 = 186
Find the sum when the equation is (3+k^2).
k=5 and go up to 8. |
6, 13, 20, 27, 34
write the first 5 terms of this sequence:
a1=6 an = an-1 + 7 |
12
Find the 20th term in this sequence:
7.25, 7.50, 7.75, 8.00, ... |
0.0009
Find the 4th term in this sequence:
900, 9, 0.009, ... |
27 x^3 + 108 x^2 y + 144 x y^2 + 64 y^3
Expand (3x+4y)^3
|
|
1+1+2+6+24+120+720 = 874
Find the sum when the equation is 1/k!.
k=0 and go up to 6. |
4, -12, -28, -44, -60, -76, -92, -108
write the first 8 of this sequence:
a1 = 4 an = an-1 -16 |
7, 14, 21
find the first 3 terms in this sequence:
__, __, __, 28, 35, 42 |
-1.016 or -1 2/125
Find the 11th term of this sequence:
6, -2, -2/3, ... |
256 x^4 - 256 x^3 y + 96 x^2 y^2 - 16 x y^3 + y^4
Expand (8/2x-y)^4
|
|
1/2+1/4+1/6+1/8+1/10+1/30+1/35 = 337/280
Find the sum when the equation is 5/10(k).
k=1 and go up to 7. |
3, 11, 27, 59, 123
write the first 5 terms of this sequence:
a1=3 an = 2an-1 + 5 |
820
Find the sum of the integers from 1 to 40.
|
169
Find the 13th term of this sequence:
1, 2, 9, 16, ... |
y^6
Find the 7th term in the expansion of (x-y)^6
|
|
2+.2+.02+.002+.0002+.00002 = 2.22222
Find the sum when the equation is 20/10^k.
k=1 and go up to 6. |
19, 71.5, 255.25, 898.38
write the first 4 terms of this sequence:
a1=4 an = 7/2an-1 + 5 |
123,675
Find the 150th partial sum of the sequence:
5,16,27,38,49,... |
5.174
Find the sum of this equation: 4(0.3)^k-1
k=1 and n =12 |
21 x y^4
Find the 3rd term in the expansion of (7x -y^2)^3
|
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