Multiple choice

Find the sum of the series $3+7+11+15+19+....$ up to $10$ terms

  1. $210$
  2. $201$
  3. $120$
  4. $102$
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A Correct answer
Explanation

This is an arithmetic progression with a=3, d=4, n=10. Sum = (n/2)(2a + (n-1)d) = (10/2)(6 + 9*4) = 5 * (6 + 36) = 5 * 42 = 210.

AI explanation

This is an arithmetic progression with a first term of 3 and a common difference of 4. The sum of the first n terms is found using the formula S = n/2[2a + (n - 1)d]. Plugging in n = 10, a = 3, and d = 4 gives 10/2[6 + 36], which equals 5 * 42, or 210.