An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal. The sum can be expressed in sigma notation as ∑⁴₁(13+8i).
What is an Arithmetic Sequence?
An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal.
aₙ = a₁ + (n-1)r
where,
aₙ is the nth term of the sequence,
a₁ is the first term of the sequence,
r is a common difference between every two terms.
The given series is an arithmetic series, the difference between the two terms is,
d = 21-13 = 8
The first term of the sequence is 13, while the number of terms in the sequence is 5 but 'i' can take the value to 4 only.
Therefore, the sum in sigma notation can be expressed as,
[tex]{\rm Sum} = \sum_{i=1}^{4} (13+8i)[/tex]
Hence, the sum can be expressed in sigma notation as ∑⁴₁(13+8i).
Learn more about Arithmetic Sequence:
https://brainly.com/question/15412619
#SPJ1
