====== Question 17 and 18, Exercise 4.1 ======
Solutions of Question 17 and 18 of Exercise 4.1 of Unit 04: Sequence and Series. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan.
=====Question 17=====
Find the indicated term of the sequence.$a_{n}=\log 10^{n} ; a_{43}$
** Solution. **
Given:
$$a_n = \log 10^n.$$
Then
\begin{align*}
a_{43} &= \log 10^{43} \\
&= 43 \cdot \log 10 \\
&= 43 \cdot 1 \\
&= 43
\end{align*}
Hence $a_{43}= 43$. GOOD m(
=====Question 18=====
Find the indicated term of the sequence.$a_{n}=\ln e^{n} ; a_{67}$
** Solution. **
Given: $$a_n = \ln e^n.$$ Then
\begin{align*}
a_{67} &= \ln e^{67} \\
&= 67 \cdot \ln e \\
&= 67 \cdot 1 \\
&= 67
\end{align*}
Hence $a_{67}= 67$. GOOD
====Go to ====
[[math-11-nbf:sol:unit04:ex4-1-p8|< Question 15 & 16]]
[[math-11-nbf:sol:unit04:ex4-1-p10|Question 19 & 20 >]]