The third term of an arithmetic sequence is 10. What is the sum of its first 5 terms?
50
20
100
55
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Answer:
I think 55 is correct answer
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Given : The third term of an arithmetic sequence is 10
To Find : sum of its first 5 terms
Solution:
Assume that first five terms are
a - 2d , a - d , a , a + d , a + 2d
where a -2d is first term
d is common difference
a is 3rd term = 10
Sum of first 5 terms = a - 2d + a - d + a + a + d + a + 2d
= 5a
= 5(10)
= 50
Hence sum of its first 5 terms = 50
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