Find the next term if the sequence: 3, 6, 11, 18, 27, 38

51

Step-by-step explanation:

I know that someone has already answered this, but I think it might be better to know the actual formula to find the answer. Since we can find a common increase of 2 in each increase, we can use a(n) = n^(increase) + a0

For example, to find the 7th term (The one you're looking for) You can do

a(7) = 7^2 + 2

which gives you 51.

nlgqer

step-by-step

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for