C-13-Q113mediumsingle_mcq

If the common ratio $r < 1$ , the sum of the first $n$ terms of a geometric series is —

a $\dfrac{a(1 - r^{n})}{1 - r}$
b $\dfrac{a(r^{n} - 1)}{r - 1}$
c $a(1 - r^{n})$
d $\dfrac{a + r^{n}}{1 - r}$

ব্যাখ্যা

When $r<1$ the sum formula is written with positive denominator as $S_n=\dfrac{a(1-r^{n})}{1-r}$ , keeping both numerator and denominator positive for convenient computation.

এই অধ্যায়ের আরও প্রশ্ন

C-13-Q114If the common ratio , the sum of the first terms of a geometric series is —
C-13-Q115If , the sum of the first terms of a geometric series is —
C-13-Q116The sum is —
C-13-Q117The number of terms in is —
C-13-Q118The sum of the first terms of is —
C-13-Q119The sum of the first terms of is —
C-13-Q120The sum of the first terms of is —
C-13-Q121The sum of terms of is —
C-13-Q122The sum of terms of is —
C-13-Q123The sum of the first terms of is —

Finite Series — সব প্রশ্ন দেখুন (160টি) →

If the common ratio $r < 1$ , the sum of the first $n$ terms of a geometric series is —

\dfrac{a(1 - r^{n})}{1 - r}

\dfrac{a(r^{n} - 1)}{r - 1}

a(1 - r^{n})

\dfrac{a + r^{n}}{1 - r}

ব্যাখ্যা

When $r<1$ the sum formula is written with positive denominator as $S_n=\dfrac{a(1-r^{n})}{1-r}$ , keeping both numerator and denominator positive for convenient computation.

If the common ratio r<1r < 1r<1, the sum of the first nnn terms of a geometric series is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If the common ratio r<1r < 1r<1, the sum of the first nnn terms of a geometric series is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If the common ratio $r < 1$ , the sum of the first $n$ terms of a geometric series is —

If the common ratio $r < 1$ , the sum of the first $n$ terms of a geometric series is —