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Sum of the arithmetic sequences Find each sum. 1+3+5+...+59

User DontWatchMyProfile
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1 Answer

15 votes
15 votes

Manny, this is the solution to the arithmetic sequence:

Sum = 1 + 3 + 5 + 7 + 9........+ 59

d = 2 (Common difference)

An = 2n - 1

A1 = 1

n = 59 + 1 /2 (Last number of the sequence plus 1 and the result divided by 2)

n = 30

Therefore, we use the arithmetic sequence sum formula:

n (A1 + d (n - 1)/2)

Replacing by the values we know:

30 (1 + 2 (30 - 1)/2)

30 * 30

900

The sum of this arithmetic sequence is 900

User Thanix
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