Multiple choice

In an arithmetic series, find the sum of the first 10 terms if the first term is 3 and the common difference is 4.

  1. $110$
  2. $210$
  3. $310$
  4. $410$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sum of AP = (n/2) * (2a + (n-1)d). n=10, a=3, d=4. Sum = (10/2) * (2*3 + 9*4) = 5 * (6 + 36) = 5 * 42 = 210.

AI explanation

To calculate the sum of the first 10 terms, use the formula Sn = n/2 * (2a + (n-1)d). The first term a is 3 and the common difference d is 4. Substituting n = 10 gives S10 = 10/2 * (2*3 + (10-1)*4) = 5 * (6 + 36) = 5 * 42 = 210.

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