Maths · Arithmetic and Geometric progressions
Determine the sum of the arithmetic series
Determine the sum of the arithmetic series \( 10+20+30+\ldots 600 \)
- A. 13500
- B. 15500
- C. 18300
- D. 19100
Step-by-step solution
The series is arithmetic with first term a=10, common difference d=10, last term l=600. Number of terms n = (l - a)/d + 1 = (600-10)/10 + 1 = 59+1=60. Sum = n/2 * (a + l) = 60/2 * (10+600) = 30 * 610 = 18300.
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