0
Verified answer
well one way to do it is to add:
3 to the first term
5 to the second
7 to the third
9 to the next
we are starting with a1=4, that is the first term and have a sequence where the we add 2n-1 to the n-1 term.
a_n = a_n-1+2n+1 so a_2=4+(2x2-1)=7 a_3=7+(2x3-1)=12 a_4=12+(2x4-1)=19 a_5 is obtained by taking a sub 4, and add (2x5-1) or 19+9=28
a_n means a sub n, where n is the subscript, or course.
So the nth term is a_n=a_n1+(2n-1)...
---
wrong, considering:
1st term; 1 + 3 = 4
2nd term; 2 + 5 = 7
3rd term; 3 + 7 = not 12 :')
correctly mentioned though, there ARE other ways of doing this!
take the example of the first term, n=1. square that number, then add 3.
what do you get? 1*1 = 1, 1+3 = 4 (correct)
now try it with others:
2*2 = 4, 4 + 3 = 7
3*3 = 9, 9 + 3 = 12
4*4 = 16, 16 + 3 = 19
5*5 = 25, 25 + 3 = 28
TA-DA! ;D
therefore, the simple answer = n^2+3 (N squared plus three)
- from Adam -
Oh, what a lovely sequence you have there! To find the pattern, we can see that each number is increasing by adding consecutive odd numbers (3, 5, 7, 9, ...). So, to find the nth term, we can use the formula: nth term = (n^2) + 3. Keep exploring and enjoying the beauty of patterns in numbers, my friend.
Which of the following would be considered like terms with -12a2?
What is the nth term of the quadratic sequence 4 7 12 19 28?
nth term is n squared plus three
What is the nth term of 33 - 5n?
28
What is the nth term of 4 10 28 82?
One possibility: 3n + 1
What are the first 5 terms in the sequence whose nth term is given by 30-2n?
The nth term of the sequence is given by 30 - 2n. To find the first 5 terms, we substitute n = 1, 2, 3, 4, and 5 into the formula. When n = 1, the first term is 30 - 2(1) = 28. When n = 2, the second term is 30 - 2(2) = 26. When n = 3, the third term is 30 - 2(3) = 24. When n = 4, the fourth term is 30 - 2(4) = 22. When n = 5, the fifth term is 30 - 2(5) = 20.
What number increased by -12 is 28?
x + (-12) = 28 So x = 28 + 12 = 40
What is the nth term of the quadratic sequence 4 7 12 19 28?
nth term is n squared plus three
What is the nth term of 4 12 20 28?
The nth term of the sequence is expressed by the formula 8n - 4.
What is the nth term of 28 19 10 1 -8?
37 - 9n
What is the nth term of 20 12 4 -4?
28 - 8n
What is the nth term for 8284868?
If you mean: 8 28 48 and 68 then the nth term is 20n -12 and so the next number will be 88
What is the nth term for 19 10 1 -8 -17?
t(n) = 28 - 9n
What is the formula for nth term?
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
What is the nth term if the sequence is 32 28 24?
The nth term is (36 - 4n)
What is the nth term of the following arithmetic sequence 12 16 20 24 28?
8 + 4n
What is the nth term of 12 20 28 36 44?
12, 20, 28, 36, 44
What is the nth term of 33 - 5n?
28
What is the nth term for 25 22 19 16?
t(n) = 28-3n where n = 1,2,3,...
