Example 2 Determine the sum of the first 100 terms for the series 2+5+ 8 + ...​

S₁₀₀ = 15050

Step-by-step explanation:

There is a common difference between consecutive terms

5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

= [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , then

S₁₀₀ = [ (2 × 2) + (99 × 3) ]

       = 50 (4 + 297)

       = 50 × 301

       = 15050

answer: 20

step-by-step explanation: subtract the minimum date value from the maximum data value to find the date range. in this casem the date range is 42 - 22 = 20

hope this ! : ) ~zane