The sum of an arithmetical sequence whose nth term is
U(n) = a + (n-1)*d is
S(n) = 1/2*n*[2a + (n-1)d]
or 1/2*n(a + l) where l is the last term in the sequence.
Wiki User
β 8y agoWiki User
β 9y agoThe sum of the first n terms of the sequence a + kd where a and d are constants and k = 1, 2, 3, ..., n isn*[a + d*(n+1)/2]
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
a1=2 d=3 an=a1+(n-1)d i.e. 2,5,8,11,14,17....
sequence 4 5 6 sum =10 sequecnce 0 5 10 sum=10
10,341
49
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.
a1=2 d=3 an=a1+(n-1)d i.e. 2,5,8,11,14,17....
sequence 4 5 6 sum =10 sequecnce 0 5 10 sum=10
10,341
49
origin of arithmetic sequence
875
The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.
It is an arithmetic sequence for which the index goes on and on (and on).
The sum of the first 12 terms of an arithmetic sequence is: sum = (n/2)(2a + (n - 1)d) = (12/2)(2a + (12 - 1)d) = 6(2a + 11d) = 12a + 66d where a is the first term and d is the common difference.
That refers to the sum of an arithmetic series.