What is the nth term of 4 7 12 19 28?

Answer 1

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)...

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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 -

Answer 2

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.

Answer 3

Well, sugar, the pattern here is that each number is increasing by adding consecutive odd numbers: 3, 5, 7, 9, and so on. So, the nth term formula is n^2 + 3. So, if you want the nth term of this sequence, just plug in n and you'll have your answer.

Answer 4

Which of the following would be considered like terms with -12a2?

Answer 5

2

Answer 6

Step by step

Answer 7

6