Sum of the arithmetic sequence 3, 5, ..., 15.

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Multiple Choice

Sum of the arithmetic sequence 3, 5, ..., 15.

Explanation:
Sum of an arithmetic sequence uses S_n = n/2 (a1 + a_n). Here, a1 = 3 and the last term a_n is 15 with a common difference of 2, so the number of terms is n = (15 − 3)/2 + 1 = 7. Then the sum is S_7 = (7/2)(3 + 15) = (7/2)(18) = 63. The total sum is 63, so the option that shows 63 is the correct one.

Sum of an arithmetic sequence uses S_n = n/2 (a1 + a_n). Here, a1 = 3 and the last term a_n is 15 with a common difference of 2, so the number of terms is n = (15 − 3)/2 + 1 = 7. Then the sum is S_7 = (7/2)(3 + 15) = (7/2)(18) = 63. The total sum is 63, so the option that shows 63 is the correct one.

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