What is the nth term of 3 8 15 24 and 35?

Answer 1

If you layout the sequence...

3, 8, 15, 24, 35... ok so you find the difference between these

3 to 8= +5 8 to 15= +7 15 yo 24= +9 24 to 35= +11

so now you find something called the second difference

which is +2 +2 +2 +2 +2. Then you need to divide the second difference by 2 which is just n^2 as it is a quadratic sequence you are finding.

now you do the nth term which is just 1 2 3 4 5 etc.

and you do your n squared sequence which is 1 4 9 16 25 etc.

and you do your sequence 3 8 15 24 35

you find out that you need from the n squared sequence and your regular sequence which is +2 +4 +6 +8 +10 this is your 2n

add 2n to the divided term n squared and you have your answer,

Answer= n squared +2n ------> (n^2)+2n

Answer 2

The given sequence is an arithmetic sequence, where the difference between consecutive terms is increasing by 5 each time. The nth term of an arithmetic sequence can be found using the formula: ( a_n = a_1 + (n-1)d ), where ( a_n ) is the nth term, ( a_1 ) is the first term, n is the term number, and d is the common difference. In this case, the first term ( a_1 = 3 ) and the common difference ( d = 5 ). Therefore, the nth term of this sequence is ( a_n = 3 + (n-1)5 ).

Answer 3

According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid.
Based on the simplest polynomial, the answer is T(n) = n^2 + 2n.

Answer 4

(n + 1)^2 - 1

Answer 5

40 ???