C-13-Q043mediumsingle_mcq

If the $m$ -th term of an arithmetic series is $n$ and the $n$ -th term is $m$ , the $(m+n)$ th term is —

a $0$
b $m + n$
c $m - n$
d $-(m + n)$

ব্যাখ্যা

From $a+(m-1)d=n$ and $a+(n-1)d=m$ , subtracting gives $(m-n)d=n-m$ , so $d=-1$ and $a=m+n-1$ . Then the $(m+n)$ th term $=a+(m+n-1)d=(m+n-1)-(m+n-1)=0$ .

এই অধ্যায়ের আরও প্রশ্ন

C-13-Q044The nd term of the arithmetic series with and is —
C-13-Q045The th term of the series is —
C-13-Q046If first term , last term and number of terms are known, the sum of an arithmetic series is —
C-13-Q047If first term , common difference and number of terms are known, the sum is —
C-13-Q048The sum of the first natural numbers is —
C-13-Q049
C-13-Q050The sum of the first terms of is —
C-13-Q051The sum of the first terms of is —
C-13-Q052The sum of the first terms of is —
C-13-Q053The sum of the first terms of is —

Finite Series — সব প্রশ্ন দেখুন (160টি) →

If the $m$ -th term of an arithmetic series is $n$ and the $n$ -th term is $m$ , the $(m+n)$ th term is —

0

m + n

m - n

-(m + n)

ব্যাখ্যা

From $a+(m-1)d=n$ and $a+(n-1)d=m$ , subtracting gives $(m-n)d=n-m$ , so $d=-1$ and $a=m+n-1$ . Then the $(m+n)$ th term $=a+(m+n-1)d=(m+n-1)-(m+n-1)=0$ .

If the mmm-th term of an arithmetic series is nnn and the nnn-th term is mmm, the (m+n)(m+n)(m+n)th term is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If the mmm-th term of an arithmetic series is nnn and the nnn-th term is mmm, the (m+n)(m+n)(m+n)th term is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If the $m$ -th term of an arithmetic series is $n$ and the $n$ -th term is $m$ , the $(m+n)$ th term is —

If the $m$ -th term of an arithmetic series is $n$ and the $n$ -th term is $m$ , the $(m+n)$ th term is —