smohsin wrote:Dear parallel-chase,
could you please elaborate how you got :
Tn = 23 - 3x = -4
and
why you added x+1, please
T1 = 23
Tn = T(n-1) - 3
T2 = T1 - 3 = 23-3 = 20
T3 = T2 - 3 = 20-3 = 17
T4 = T3 - 3 = 17-3 = 14
T5 = T4 - 3 = 14-3 = 11
T6 = T5 - 3 = 11-3 = 8
T7 = T6 - 3 = 8-3 = 5
T8 = T7 - 3 = 5-3 = 2
T9 = T8 - 3 = 2-3 = -1
T10 = T9 -3 = -1-3 = -4
As you can see from the above pattern that we are subtracting 3 from every number.
Hence easy way of doing this is
Tn = 23 - 3x = -4
Here x is the number of times 3 has been subtracted.
We added 1 to the value of x because of inclusiveness. Because when calculating the sequence we do not include the first value.
Hope this helps.
No rest for the Wicked....