If you mean: +3 +1 -1 -3 then it is -5
That depends what the pattern of the sequence is.
To find the 5th term of the sequence defined by the formula (2n + 3), substitute (n = 5) into the equation. This gives (2(5) + 3 = 10 + 3 = 13). Therefore, the 5th term of the sequence is 13.
0.16
"The recursive form is very useful when there aren't too many terms in the sequence. For instance, it would be fairly easy to find the 5th term of a sequence recursively, but the closed form might be better for the 100th term. On the other hand, finding the closed form can be very difficult, depending on the sequence. With computers or graphing calculators, the 100th term can be found quickly recursively."
Nth number in an arithmetic series equals 'a + nd', where 'a' is the first number, 'n' signifies the Nth number and d is the amount by which each term in the series is incremented. For the 5th term it would be a + 5d
That depends what the pattern of the sequence is.
To find the 5th term of the sequence defined by the formula (2n + 3), substitute (n = 5) into the equation. This gives (2(5) + 3 = 10 + 3 = 13). Therefore, the 5th term of the sequence is 13.
16
0.16
The given sequence is 1, 5, 3, 15, 13. A potential pattern is that each odd-indexed term (1st, 3rd, 5th) is increasing by 2, while the even-indexed terms (2nd, 4th) are multiplied by 3. Continuing this pattern, the next term after 13 (the 5th term) would be 39 (13 multiplied by 3). Thus, the next number in the sequence should be 39.
As you are taking 3 away each time, the 5th term will be -5.
Ok, take the formula dn+(a-d) this is just when having a sequence with a common difference dn+(a-d) when d=common difference, a=the 1st term, n=the nth term - you have the sequence 2, 4, 6, 8... and you want to find the nth term therefore: dn+(a-d) 2n+(2-2) 2n Let's assume you want to find the 5th term (in this case, the following number in the sequence) 2(5) = 10 (so the fifth term is 10)
"The recursive form is very useful when there aren't too many terms in the sequence. For instance, it would be fairly easy to find the 5th term of a sequence recursively, but the closed form might be better for the 100th term. On the other hand, finding the closed form can be very difficult, depending on the sequence. With computers or graphing calculators, the 100th term can be found quickly recursively."
Nth number in an arithmetic series equals 'a + nd', where 'a' is the first number, 'n' signifies the Nth number and d is the amount by which each term in the series is incremented. For the 5th term it would be a + 5d
56
The given sequence is an arithmetic sequence with a common difference of 8. To find the nth term, we use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_n ) is the nth term, ( a_1 ) is the first term, ( n ) is the position of the term, and ( d ) is the common difference. In this case, the first term ( a_1 = 15 ) and the common difference ( d = 8 ). Therefore, the nth term for this sequence is ( a_n = 15 + (n-1)8 = 15 + 8n - 8 = 8n + 7 ).
To find the first three terms of a sequence where the fifth term is 162, we can assume the sequence follows a specific pattern, such as an arithmetic sequence. For example, if we let the first term be ( a ) and the common difference be ( d ), the fifth term can be expressed as ( a + 4d = 162 ). By choosing ( a = 82 ) and ( d = 20 ), the first three terms would be 82, 102, and 122. However, many sequences could satisfy the condition, so the terms can vary depending on the assumed pattern.