Recursion Formulas
What is the recursive formula for The Fibonacci Sequence.
(1,1,2,3,5,8,13,21)
Fn= Fn-1+Fn-2
4
What is the Formula of the Arithmetic Sequence
Tn=a+(n-1)d
What is the formula for the geometric series?
Sn=a(rⁿ-1)/r-1
What is the formula of the Arithmetic Series.
Sn=n(2a+(n-1)d)÷2
What are the first 4 terms of this sequence?
T1=3,Tn=2Tn-1
3,6,12,24
Expand (X-2)⁴
X⁴-8x³+24x²-32x+16
This sequence is Arthimetric
True or False?
13,7,1,-5,...
True
This series Geometric
True or false?
3 - 9 + 18 - 54 +...
False
Determine the sum of the arithmetic series.
a=4,Tn=9,n=6
39
What are the first 3 terms of...
Tn=3n-1
(This is the explicit formula)
2,5,8
Determine the sum of the terms in the 12th row of Pascal's Triangle
4096
Determine the values of a and d and find the next 3 terms.
(5/2,2,3/2,....)
a=5/2
d=-1/2
1,1/2,0,...
Determine Sn for this geometric series.
a=6,r=2,n=9
3066
Find the sum of the series 5 + 9 + 13 + ...+ 201
5150
Determine the recursion formula for this sequence.
(5,11,17,23,....)
T1=5
Tn = Tn-1+6
Expand each power of a binomial?
(2x - 3y)⁴
16x⁴-96x³y+216x²y²-216xy³+81y⁴
How many terms are there in the sequence -3,2,7,...,152?
n=32
Find s⁸ for the series 3-9+27...
Find the sum of the 60 terms of the series
5+8+11+...
5160
Determine the explicit formula to represent the following sequence.
(T1=8 Tn=Tn-1÷2)
Tn=16(1/2)ⁿ
Use Pascal's Triangle to expand each power of a binomial.
(4+t)⁶
4096+6144t+3840t²+1280t³+240t⁴+24t⁵+t⁶
Which term in the Arithmetic sequence 9,4,-1,... has the value of -146?
n=32
Find the sum of the series
4+12+36...+2916
4372
What is the sum of this Arithmetic Series
5-8-21-...-190
-1480