Question

What is the pattern of 3.5, 13, 41.5, 127,,,, and the anwser

Answer 1

Times 3 plus 2.5 is the pattern, and the next number is 383.5

Answer 2

Answer with Step-by-step explanation:

We are given a sequence as:

3.5, 13, 41.5, 127,...

we have to determine the pattern

13= 3.5×3+2.5

41.5= 13×3+2.5

127= 41.5×3+2.5

Hence, the sequence is defined as next term in the sequence is 3 times the previous term of the sequence plus 2.5

i.e. $a_{n+1} =3a_{n} +2.5\ ;\ a_{1}=3.5$

Hence, Pattern is:

$a_{n+1} =3a_{n} +2.5\ ;\ a_{1}=3.5$