Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.
See classesLearn live with an expert or move at your own pace. Every option includes the complete TTP study system.
Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.
with Josh Braslow, 20+ years in test prep
Self-paced EA prep. Study on your schedule.
with
Complete access from day one. Study on your schedule.
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)
