Answer:
Tn=12n(n+1)
Step-by-step explanation:
Explanation:
These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:
T1=1=1
T2=3=1+2
T3=6=1+2+3
etc.
Notice that:
2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n
2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1
2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)
2Tn=n(n+1)
So:
Tn=12n(n+1)
Answer:
1. is true
2. false
3. true
Step-by-step explanation:
Answer:
Step-by-step explanation:
A_{n+1}=14*A_{n}
A_{1}=8
A_{1+1}=14×8=112
A_{2}=112
A_{3}=14*A_{2}=14×112=1568
A_{4}=14*A_{3}=14×1568=21952
A_{5}=14*A_{4}=14×21952=307328
