C-13-Q156mediumsingle_mcq

In an arithmetic series the sum of any two terms equidistant from the first and last is —

aequal to the first term
bequal to the sum of the first and last terms
cequal to twice the common difference
dzero

ব্যাখ্যা

In an AP, pairing the $k$ th term from the start with the $k$ th from the end gives $[a+(k-1)d]+[l-(k-1)d]=a+l$ , so each such pair equals the sum of the first and last terms.

এই অধ্যায়ের আরও প্রশ্ন

C-13-Q157SSC results pattern: student at , at , at — the -th time-step value is —
C-13-Q158From SSC pattern in Q157, the number of students who get results exactly at pm (the th time step) is —
C-13-Q159From the same SSC pattern, the cumulative number of students who know their results by pm equals —
C-13-Q160From the same SSC pattern, the cumulative count by pm equals —
C-13-Q150The th term of an arithmetic sequence with first term and common difference is —
C-13-Q151The -th term of the sequence of natural numbers is —
C-13-Q152
C-13-Q153
C-13-Q154
C-13-Q155The graph of an infinite arithmetic series with positive common difference grows —

Finite Series — সব প্রশ্ন দেখুন (160টি) →

In an arithmetic series the sum of any two terms equidistant from the first and last is —

aequal to the first term

bequal to the sum of the first and last terms

cequal to twice the common difference

dzero

ব্যাখ্যা

In an AP, pairing the $k$ th term from the start with the $k$ th from the end gives $[a+(k-1)d]+[l-(k-1)d]=a+l$ , so each such pair equals the sum of the first and last terms.