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belka [17]
3 years ago
5

What is the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms?

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0
Since the sequence is arithmetic, we have an expression of the form:
 an = a1 + d (n-1)

 Where,
 a1: first term of the sequence
 d: common difference
 n: number of terms
 We look for the common difference:
 d = 22-15 = 15-8 = 7

d = 7
 Then, setting values we have:
 a26 = 8 + 7 * (26-1)

a26 = 183

 Then, the sum of the terms is:
 Sn = ((a1 + an) / (2)) * n

 Substituting values:
 Sn = ((8 + 183) / (2)) * 26

Sn = 2483
 Answer:
 
the sum of the arithmetic sequence 8, 15, 22 is:
 
Sn = 2483
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