====== Question 13 and 14, Exercise 4.1 ====== Solutions of Question 13 and 14 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 13===== Find the indicated term of the sequence. $a_{n}=(3 n+4)(2 n-5) ; a_{7}$ ** Solution. ** Do yourself. =====Question 14===== Find the indicated term of the sequence. $a_{n}=(-1)^{n-1}(3.4 n-17.3) ; a_{12}$ ** Solution. ** Given: $$a_n = (-1)^{n-1}(3.4n - 17.3).$$ Then \begin{align*} a_{12} &= (-1)^{12-1}(3.4 \cdot 12 - 17.3) \\ &= (-1)^{11}(40.8 - 17.3) \\ &= (-1)^{11}(23.5) \\ &= -23.5 \end{align*} Hence $a_{12} =-23.5 $ GOOD ====Go to ==== [[math-11-nbf:sol:unit04:ex4-1-p6|< Question 11 & 12]] [[math-11-nbf:sol:unit04:ex4-1-p8|Question 15 & 16 >]]