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Yes the formula is correct.prachich1987 wrote:Hi,
I just wanted to confirm whether below formula is right.
In an arithmetic sequence sum of all the terms=median*no. of terms ...irrespective of whether the sequence consists of even no. of terms or odd no. of terms.
Thanks!
Thanks Anurag!Anurag@Gurome wrote:Yes the formula is correct.prachich1987 wrote:Hi,
I just wanted to confirm whether below formula is right.
In an arithmetic sequence sum of all the terms=median*no. of terms ...irrespective of whether the sequence consists of even no. of terms or odd no. of terms.
Thanks!
This is because, Sum of all terms = (Arithmetic Mean)*(Number of terms), and for arithmetic sequences, the median is equal to the arithmetic mean.
Sum of all terms of an arithmetic series = (Arithmetic mean of first and last terms)*(Number of terms)prachich1987 wrote:I think there is one more formula for calculating the sum using first and last term of the sequence.
Can you please advise?
Thanks Anurag !Anurag@Gurome wrote:Sum of all terms of an arithmetic series = (Arithmetic mean of first and last terms)*(Number of terms)prachich1987 wrote:I think there is one more formula for calculating the sum using first and last term of the sequence.
Can you please advise?
We can conclude much more than this.prachich1987 wrote:So we can conclude that for any arithmetic sequence,median=Arithmetic mean of first and last terms=Arithmetic mean of middle two terms (for even no. of terms)
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