I got all of the hw except this one. The series comes out to be..
2, 6, 12, 20, 30, 43, 56, 72, 90, 110
differences are +4, + 6, + 8 all the way up to +20
It isn't arithmetic right? It isn't geometric right?
Is there another formula or do I just add the numbers?
What am I missing. Thanks.
hi idk the answer but i need some help this guy said that ima cheater but i dont cheat i just give the answers to them is he right? :[
look at this pattern:
2 = 1*2
6 = 2*3
12 = 3*4
20 = 4*5
can you see what is happening?
I would say that
term(n) = n(n+1)
Not arithmetic, nor geometric
Yes thank you.
Based on the given sequence, it does not appear to be an arithmetic or geometric series. In an arithmetic series, each term is obtained by adding a constant difference to the previous term, whereas in a geometric series, each term is obtained by multiplying the previous term by a constant ratio.
To identify the pattern in the given series, let's examine the differences between consecutive terms:
1st difference: 6 - 2 = 4
2nd difference: 12 - 6 = 6
3rd difference: 20 - 12 = 8
4th difference: 30 - 20 = 10
5th difference: 43 - 30 = 13
6th difference: 56 - 43 = 13
7th difference: 72 - 56 = 16
8th difference: 90 - 72 = 18
9th difference: 110 - 90 = 20
Observing the second differences, we can see that they are not constant. Hence, the given series is neither arithmetic nor geometric.
To find a general formula for the series, we need to determine the pattern in the second differences. Let's represent the terms of the second differences as:
2nd difference: 4, 6, 8, 10, 13, 13, 16, 18, 20
Unfortunately, there is no obvious pattern in the second differences. Therefore, it is unlikely that there is a simple formula to generate the terms of this series.
In this scenario, to find the next term, you have a couple of options:
1. You can try to observe any specific pattern or relationship between the terms and use your intuition to predict the next term.
2. You can use curve fitting techniques or regression analysis to find a polynomial equation that closely approximates the series, although these may not always provide an exact solution.
Without additional information or a specific pattern, it is challenging to find a definitive answer or a formula that generates all the terms in the series.