answersLogoWhite

0

Given an arithmetic sequence whose first term is a, last term is l and common difference is d is:

The series of partial sums, Sn, is given by

Sn = 1/2*n*(a + l) = 1/2*n*[2a + (n-1)*d]



User Avatar

Wiki User

10y ago

What else can I help you with?

Related Questions

What is the difference between an arithmetic series and an arithmetic sequence?

An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.


How do arithmetic and geometric sequences compare to continuous functions?

an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.


The sum of the first 5 terms of an arithmetic sequence is 40 and the sum of its first ten terms is 155what is this arithmetic sequence?

a1=2 d=3 an=a1+(n-1)d i.e. 2,5,8,11,14,17....


What is the sum of the first 28 terms of this arithmetic sequence?

To find the sum of the first 28 terms of an arithmetic sequence, you need the first term (a) and the common difference (d). The formula for the sum of the first n terms (S_n) of an arithmetic sequence is S_n = n/2 * (2a + (n - 1)d). Once you have the values of a and d, plug them into the formula along with n = 28 to calculate the sum.


What if the second terms of an arithmetic sequence is 5 find the sum of 1st and 3rd term?

sequence 4 5 6 sum =10 sequecnce 0 5 10 sum=10


What is the sum of a 54term arithmetic sequence where the first term is 6 and the last term is 377?

10,341


What is the sum of the first ten terms of the arithmetic sequence 4 4.2 4.4...?

49


What is the formula for the general term of the arithmetic sequence?

an = a1 + d(n - 1)


What is the history of a arithmetic sequence?

origin of arithmetic sequence


What is the sum of a 14-term arithmetic sequence where the last term is 30 and the common difference is -5?

875


What is the two kinds of sum?

The two kinds of sums typically refer to the arithmetic sum and the geometric sum. An arithmetic sum is the total of a sequence of numbers where each term increases by a constant difference, while a geometric sum involves a sequence where each term is multiplied by a constant ratio. Both types of sums can be expressed using specific formulas to calculate their totals efficiently.


What is a infinite arithmetic sequence?

It is an arithmetic sequence for which the index goes on and on (and on).