====== 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 >]]