What is the 28th term of the arithmetic sequence?

What is the 28th term of the arithmetic sequence?

Explanation: To calculate the ‘sum to n terms’ of an arithmetic sequence use: Sn=n2[2a+(n−1)d] the common difference d , is required. 28th term = a + (n-1)d = 12 +27d =255 , hence 27d = 243.

How do you find the first 25 terms of an arithmetic sequence?

Since the n th term of an arithmetic sequence is given by the following formula: an=a1+d(n−1) , where d is the common difference. So the sum of the first 25 terms of your series is 3775.

What is the sum of the first 30 terms of this arithmetic sequence?

3225
The sum of the first 30 terms of this arithmetic sequence 6, 13, 20, 27, 34, … is 3225.

What is the sum of the first 25 terms of an arithmetic sequence if the sum of its 8th and 18th term is 72?

SAT Arithmetic Progression : Sum of an Arithmetic Sequence What is the sum of the first 25 terms of an arithmetic sequence if the sum of its 8th and 18th term is 72? Choice C. The sum of the first 25 terms is 900.

What is the formula to find the sum of arithmetic sequence?

The formulas for the sum of the arithmetic sequence are given below: Sum of Arithmetic Sequence Formula. When the Last Term is Given. S = n⁄2 (a + L) When the Last Term is Not Given. S = n⁄2 {2a + (n − 1) d}.

What is the sum of the first n terms of arithmetic series?

where n is the number of terms, a 1 is the first term and a n is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series. Example 1: Find the sum of the first 20 terms of the arithmetic series if a 1 = 5 and a 20 = 62.

What is the sum of the first 4 terms of the sequence?

Sum of the first 4 terms is 14.50 In an arithmetic sequence, whose first term is a and difference between a term and its preceding term is d, Subtracting first from second, 4d = 5 or d = 1.25

How do you find the last term of an arithmetic sequence?

Notations: 1 “S” is the sum of the arithmetic sequence, 2 “a” as the first term, 3 “d” the common difference between the terms, 4 “n” is the total number of terms in the sequence and 5 “L” is the last term of the sequence.