The sequence {A(n)} is defined by A(1) = 2 and A(n+1)=A(n)+2*n what is the value of A(100)? Choose one.
A) 9902  B) 9900  C) 10100  D) 9904  E) 9906
n=1, A(1)=2   n=2, A(2)=A(1+1)=A(1)+2*1=2+2= 
<gadget id="calculator">2+2</gadget>
<output>4</output>
4   n=3, A(3)=A(2+1)=A(2)+2*2=4+4= 
<gadget id="calculator">4+4</gadget>
<output>8</output>
8   n=4, A(4)=A(3+1)=A(3)+2*3=8+6= 
<gadget id="calculator">8+6</gadget>
<output>14</output>
14   if n=1, A(1)=2   if n=2, A(2)=4, i.e 2*2-0=4   if n=3, A(3)=8, i.e 3*3-1=8   if n=4, A(4)=14 i.e 4*4-2=14   ..........   if n=100, 9902(100)=100*100-98=10000-98= 
<gadget id="calculator">10000-98</gadget>
<output>9_902</output>
9902   9902NSWER:9902
<result>A</result>
The sequence {A(n)} is defined by A(1) = 2 and A(n+1)=A(n)+2*n what is the value of A(100)?