The sum of the arithmetic series is:
893
What are arithmetic progressions?
An arithmetic sequence with a specific number of terms is the sum of all the terms in an arithmetic series.
An arithmetic sequence's first n terms are added together to form (n/2).(a1+an). The arithmetic series formula is what it is known as.
Solution:
Given:
a1 = 11, a2 = 15 and an=83
Step-1:
d= a2 ₋ a1
d= 4
Now, an = a ₊ (n ₋ 1)d
83 = a ₊ (n ₋ 1)4
83 = 11 ₊ 4n ₋4
83 = 7 ₊ 4n
4n = 83 ₋ 7
n = 19
Step-2:
Now, Sn = n/2 (a1 ₊ an)
Sn = 19/2 (11 ₊ 83)
Sn = 19/2 ₓ 94
Sn = 893
Hence we get the answer as 893
Learn more about "Arithmetic progressions" here-
brainly.com/question/6561461
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