A sequence is formed by adding $2$ to the triple of the previous term. If the first term is $1$, how many multiples of $6$ less than $10{,}000$ would be terms of the sequence?
A sequence is formed by adding 2 to the triple of the previous term. If the first term is 1 , how many multiples of 6 less than 10000 would be terms of the sequence?
Do you undestand the question?
First term = 1
2nd term =1 x 3 + 2 = 5
3rd term =5 x 3 + 2 = 17
4th term =17 x 3 + 2 = 53
5th term =53 x 3 + 2 = 161
6th term=161 x 3 + 2 = 485
7th term=485 x 3 + 2 = 1457
8th term=1457 x 3 + 2 =4373
9th term=4373 x 3 + 2 =Goes over 10,000
Of the 8 terms, how many of them are multiple of 6? Or are divisible by 6? Use your calculator and find out!.
