What is the 15th term of the sequence-3,2,7,...?
Well, in order to find the 15th term of the sequence -3, 2, 7,..., let's put on our thinking caps and do some math!
If we take a closer look at the sequence, we can see that each term is found by adding 5 to the previous term. So, if we start with -3 and keep adding 5, we get:
-3, 2, 7, 12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, ...
Ta-da! The 15th term of the sequence is 67. And just to be extra sure, I even counted the terms on my fingers!
To find the 15th term of the sequence -3, 2, 7, ..., we first need to identify the pattern in the sequence to determine how each term is generated.
Looking at the given sequence, we notice that each term is 5 units greater than the previous term. So, the pattern of the sequence is an increment of 5.
To find the 15th term, we can use the formula for an arithmetic sequence:
Term_n = Term_1 + (n - 1)d,
where Term_n is the nth term of the sequence, Term_1 is the first term of the sequence, n is the position of the term we want to find, and d is the common difference.
Given that the first term (Term_1) is -3 and the common difference (d) is 5, we can substitute these values into the formula above:
Term_15 = -3 + (15 - 1) * 5
= -3 + 14 * 5
= -3 + 70
= 67
Therefore, the 15th term of the sequence -3, 2, 7, ... is 67.
To find the 15th term of the sequence -3, 2, 7,..., we need to understand the pattern in the sequence. In this case, we can observe that each term is obtained by adding 5 to the previous term.
To calculate the 15th term, we can start with the first term, which is -3, and repeatedly add 5 to it until we reach the desired term.
Here's how we can do it step by step:
1st term: -3
2nd term: -3 + 5 = 2
3rd term: 2 + 5 = 7
4th term: 7 + 5 = 12
...
continue this pattern until you reach the 15th term.
By performing this calculation, we can find that the 15th term of the sequence is 62.
You have to give more information.
It is not arithmetic , nor is it geometric
I can make it a quadratic ....
term(n) = 3n^2 - 10n + 10
and the three terms you gave me will match.
so
term(15) = 3(225) - 10(15) + 10 = 535
or a cubic
or ....