What's Next?

Level pending

What should be the next number in the sequence below?

$\large 7, 3.50, 3.50, 5.25, 10.50, \text{ \_\_\_\_\_}$

26.52 26.75 25.35 26.25

1 solution

Jus Jaisinghani
Apr 20, 2017

The solution is quite simple.

First term x $\frac{1}{2}$ = Second term
Second term x 1 = third term
Third term x $\frac{3}{2}$ = fourth term
$T_n=T_{n-1} \times (n-1) \times \frac{1}{2}$
Where $n\ge 2$
For $T_6=T_5 \times 5 \times \frac{1}{2}= 10.50 \times \frac{5}{2}=26.25$