el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... $a_5=48$.
Assume $r$ be common difference, then by general formula for nth term, we have
$$
a_n=ar^{... $a_5=48$.
Assume $r$ be common difference, then by general formula for nth term, we have
$$
a_n=ar^{... $a_4=8$.
Assume $r$ to be the common ratio. Then, by the general formula for the $n$th term, we have
$
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... .\\
General term of the geometric series is given by
$$a_{n}=a_{1} r^{n-1}.$$
Thus
\begin{align*}
a_3&... .\\
General term of the geometric series is given by
$a_{n}=a_{1} r^{n-1}.$
Thus
\begin{align*}
a_5 &=
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... .\\
General term of the geometric series is given by
$a_{n}=a_{1} r^{n-1}.$
Thus
\begin{align*}
a_4 &=... .\\
General term of the geometric series is given by
$a_{n}=a_{1} r^{n-1}.$
Thus
\begin{align*}
a_5 &=
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... .\\
General term of the geometric series is given by
$a_{n}=a_{1} r^{n-1}.$
Thus
\begin{align*}
a_6 &=... .\\
General term of the geometric series is given by
$a_{n}=a_{1} r^{n-1}.$
Thus
\begin{align*}
a_8 &=
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... 1}{4}$.
Assume $r$ to be the common ratio. Then, by the general formula for the $n$th term, we have \... 3=75$.
Assume $r$ to be the common ratio. Then, by the general formula for the $n$th term, we have
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... 0$.
Assume $r$ to be the common ratio. \\
Then, by the general formula for the $n$th term, we have \... \\
Assume $r$ to be the common ratio. \\
Then, by the general formula for the $n$th term, we have \
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... ow consider this to make kth term of given series by just taking square.
</callout>
Consider $T_k$ r... ow consider this to make kth term of given series by just taking square.
</callout>
Consider $T_k$ r
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... erms of the arithmetico-geometric series is given by
\begin{align*}
S_{n}=\frac{a}{1-r}+d r \frac{\le... erms of the arithmetico-geometric series is given by:
\[
S_n = \frac{a}{1 - r} + d r \frac{1 - r^n}{
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... erms of the arithmetico-geometric series is given by:
\begin{align*}
S_n& = \frac{a}{1 - r} + d \cdot ... erms of the arithmetico-geometric series is given by:
\begin{align*}
S_n &= \frac{a}{1 - r} + d \cdot
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... of infinite arithmetico-geometric series is given by
$$
S_{\infty}=\frac{a}{1-r}+\frac{d r}{(1-r)^{2}... he infinite arithmetico-geometric series is given by:\\
\[
S_{\infty} = \frac{a}{1 - r} + \frac{d r}{(
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... he infinite arithmetico-geometric series is given by:\\
\[
S_{\infty} = \frac{a}{1 - r} + \frac{d r}{(... he infinite arithmetico-geometric series is given by:\\
\[
S_{\infty} = \frac{a}{1 - r} + \frac{d r}{(
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... he fall during the 8 th second?
** Solution. **
By the given data, we have
\begin{align*}16, 48, 80,
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... ation of 100,000 and the population is increasing by $3 \%$ each year. What will the population be in
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... school informs its members of school cancellation by telephone. The principal calls 2 teachers, each o
el Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textboo... 25} ft$ \\
Let $D$ be the total distance covered by the ball. Then
$$D=30+2\left(12+\frac{24}{5}+\fra