0
The series is a(n) = 4n² +5n. . . and this is the general formula which also gives the nth term.
When n = 1, 4n² + 5n = 4*1 + 5*1 = 9
When n = 2, 4n² + 5n = 4*4 + 5*2 = 26 . . .and so on
When n = 5, 4n² + 5n = 4*25 + 5*5 = 125.
The series can be determined using the Difference Technique.
A second difference of 8 gives the first term 4n². . . . as a 2nd difference of 2 equates to n².
After applying this to the original series, the revised series produces a 1st difference of 5, hence 5n.
Still curious? Ask our experts.
Chat with our AI personalities
Steve
Lao
ProfessorAdd your answer:
Earn +20 pts
Nth term for 11 ,31,51,72?
The given sequence is 11, 31, 51, 72 The nth term of this sequence can be expressed as an = 11 + (n - 1) × 20 Therefore, the nth term is 11 + (n - 1) × 20, where n is the position of the term in the sequence.
What are the next three terms of iii vi xi xviii xxvii in roman numerals showing the nth term formula?
If by using the formula: nth term = n2+2 the sequence is 3 6 11 18 27 38 51 66.Then it follows that by using the same formula the sequence is III VI XI XVIII XXVII XXXVIII LI LXVI in Roman numerals.
51 over 12 as a percent?
125%
What is 0.408 as a fraction?
To convert a decimal to a fractionm. Place the decimal over 'one point' followed by the same number of zeroes as digits in the decimal number. Hence 0.408 / 1.000 Cancel down the decimal point 0408 / 1000 Drop the trivial zero to the left of 408 Hence 408/1000 Cancel down by '4' 102/ 250 Cancel down by '2' 51/125 This will not cancel down any further as there are no common factors between '51' and '125'. Hence 0.408 = 51/125
What is 0.408 simplified as a fraction?
0.408 = 408/1000 = 51/125
