0.5,1.5,4.5,13.5,...

what is the next three terms???
plz help

To find the next three terms in the sequence 0.5, 1.5, 4.5, 13.5, we need to identify the pattern or rule that governs the sequence's progression. Let's analyze the differences between consecutive terms:

1st difference: 1.5 - 0.5 = 1
2nd difference: 4.5 - 1.5 = 3
3rd difference: 13.5 - 4.5 = 9

If we look closely, we can see that the differences themselves form their own sequence, which is an arithmetic sequence. Specifically, we have 1, 3, and 9, each term being three times the previous term. We can use this information to find the next differences:

4th difference: 9 * 3 = 27
5th difference: 27 * 3 = 81
6th difference: 81 * 3 = 243

To find the next three terms, we add these differences to the last term of the given sequence:

13.5 + 27 = 40.5
40.5 + 81 = 121.5
121.5 + 243 = 364.5

Therefore, the next three terms in the sequence are 40.5, 121.5, and 364.5.

If you double it..

1,3,9,27
which is the sequence of 3^n, n=1,2,3,4,..

so you want half of that.
What is 3x3x3x3 for the next term, then take half.

I noticed this pattern

1.5-.5 = 1
4.5-1.5 = 3
13.5 - 4.5 = 9

suggesting that the differences could be powers of 3, so the next difference is 27, then 81 etc.

try that.

huh?

thank you so much!

well my teacher said to find out what this sequece ment and who was the man who invented it .it goes like 1,1,2,3,5,8,13,21 ............... and i have got to find out the rest too the last number

plese help me

find the next three terms of each sequence

0.5 1.5 4.5

40.5