Suppose I have following series -
$1, 2, 4, 7, 11, 16, \dots$
How can I mathematically represent this series? I can't represent it as AP as d
is not constant. I couldn't represent it as GP either.
Suppose I have following series -
$1, 2, 4, 7, 11, 16, \dots$
How can I mathematically represent this series? I can't represent it as AP as d
is not constant. I couldn't represent it as GP either.
$n$-th term $=1 + \frac{n(n-1)}{2}$
Method of difference.
$1+0=1$
$1+1=2$
$2+2=4$
$4+3=7$
$7+4=11$
$11+5=16$
$16+6=22$
$22+7=29$
$29+8=37$
$37+9=46$
$46+10=56$
...............
...............
...............
............... Do you see the pattern now?
Can you see how you can write this as a recurrence?
Regards -A