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
Fran
Rene
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 the ordinal number and word for 26 and 51?
The ordinal number for 26 is twenty sixth of 26th and that of 51 is fifty first of 51st.
What is the nth term for the sequence 57 55 53 51?
(Term)n = 59 - 2n
What is the nth term of the sequence 81 72 64 57 51 46?
42
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 is 51 over 125 as a decimal?
51/125 = .408
Which rule will find the nth term of the arithmetic sequence -58 -65 -72 -86?
It appears that a number of -79 is missing in the sequence and so if you meant -58 -65 -72 -79 -86 then the nth term is -7n-51 which makes 6th term in the sequence -93
What is the greatest common factor of 51 and 125?
Greatest common factor of 51 and 125 is 1.
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.
What is the median of 26 26 32 51 65 73 80?
51
What is the greatest common factor of 26 and 51?
The GCF of 26 and 51 is 1. The prime factors of 26 are 2 and 13. The prime factors of 51 are 3 and 17. There are no factors, other than 1, which are common to 26 and 51.
51 over 12 as a percent?
125%
What has 51 protons 51 electrons and 74 neutrons?
An atom with 51 protons and 51 electrons is the element Antimony (Sb). Since it has 74 neutrons, the specific isotope being referred to is Antimony-125 (Sb-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
