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.
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.
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.
125%
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
0.408 = 408/1000 = 51/125
(Term)n = 59 - 2n
42
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.
51/125 = .408
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
Greatest common factor of 51 and 125 is 1.
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
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.
125%
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).
51 - 26 = 25; 25/2 = 12.5; 12.5 + 26 = 38.5